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Number that represents a hexagon with a dot in the center
combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the center and all
Centered_hexagonal_number
Type of figurate number
A hexagonal number is a figurate number. The nth hexagonal number hn is the number of distinct dots in a pattern of dots consisting of the outlines of
Hexagonal_number
Natural number
numbers to also be a centered hexagonal number. a centered nonagonal number. a centered cube number. a square pyramidal number, being the sum of the squares
91_(number)
Natural number
2 {\displaystyle 5^{2}+6^{2}} . It is also a centered decagonal number, and a centered hexagonal number. 61 is the fourth cuban prime of the form p =
61_(number)
One of the five 2D Bravais lattices
Square lattice (see dots in a diagonal square centered) Hexagonal tiling Close-packing Centered hexagonal number Eisenstein integer Voronoi diagram Hermite
Hexagonal_lattice
Figurate number
numbers are closely related to centered hexagonal numbers. When the array corresponding to a centered hexagonal number is divided between its middle row
Pentagonal_number
Type of prime number
is exactly the general form of a centered hexagonal number; that is, all of these cuban primes are centered hexagonal. As of July 2023[update] the largest
Cuban_prime
Class of series of figurate numbers, each having a central dot
n2 + (n − 1)2. centered pentagonal numbers 1, 6, 16, 31, 51, 76, 106, 141, 181, 226, 276, 331, ... (OEIS: A005891), centered hexagonal numbers 1, 7, 19
Centered_polygonal_number
Natural number
without a twin prime. 37 is the third star number and the fourth centered hexagonal number. The sum of the squares of the first 37 primes is divisible by
37_(number)
Natural number
primes; thus, it is a strong prime. 127 is a centered hexagonal number. It is the seventh Motzkin number. 127 is a palindromic prime in nonary and binary
127_(number)
Centered figurate number
also called centered dodecagonal numbers because star numbers are centered polygonal numbers with a twelve-sided shape. The nth star number is given by
Star_number
Natural number
natural number following 299 and preceding 301. 300 is a composite number and the 24th triangular number. It is also a second hexagonal number. 317 is
300_(number)
Natural number
a centered hexagonal number. It is the smallest prime number bracketed on both sides by numbers divisible by cubes, and the smallest prime number bracketed
271_(number)
Natural number
33 × 17, Harshad number 919 = prime number, cuban prime, prime index prime, Chen prime, palindromic prime, centered hexagonal number, Mertens function(919)
900_(number)
Centered figurate number that represents a triangle with a dot in the center
other dots surrounding the center in successive equilateral triangular layers. This is also the number of points of a hexagonal lattice with nearest-neighbor
Centered_triangular_number
Natural number
prime number, a Cuban prime, a Lucky prime a Chen prime, a centered triangular number, a centered hexagonal number, and a lazy caterer number (sequence
600_(number)
Natural number
546! − 1 is prime. 547 is a prime number, a cuban prime, a centered hexagonal number, a centered heptagonal number, and a prime index prime. 548 = 22
500_(number)
Natural number
squares to also be a centered hexagonal number. Like all odd squares, it is a centered octagonal number. 169 is an odd-indexed Pell number, thus it is also
169_(number)
Natural number
It is a centered hexagonal number. 469! - 1 is prime. 470 = 2 × 5 × 47. It is a sphenic number, a nontotient, a noncototient, and a cake number. 471 =
400_(number)
Natural number
is a centered hexagonal number and the sum of nine consecutive primes (61 + 67 + 71 + 73 + 79 + 83 + 89 + 97 + 101). It is the smallest number that is
700_(number)
Natural number
is the natural number following 216 and preceding 218. 217 is a centered hexagonal number, a 12-gonal number, a centered 36-gonal number, a Fermat pseudoprime
217_(number)
Natural number
centered hexagonal number 4225 = 652, centered octagonal number 4227 – sum of the first 46 primes 4240 – Leyland number 4257 – decagonal number 4259 – safe
4000_(number)
Type of figurate number
nth hexagonal number P(6,n) is also the (2n − 1)th triangular number T2n−1. We can find every hexagonal number by simply taking the odd-numbered triangular
Polygonal_number
number Centered polygonal number Centered square number Centered pentagonal number Centered hexagonal number Tetrahedral number Pyramidal number Triangular
List of recreational number theory topics
List_of_recreational_number_theory_topics
Number, product of consecutive integers
The nth pronic number is also the difference between the odd square (2n + 1)2 and the (n+1)st centered hexagonal number. Since the number of off-diagonal
Pronic_number
Natural number
× 17. It is a tetrahedral number, a Padovan number, and a Zuckerman number. 817 = 19 × 43. It is a centered hexagonal number and the sum of three consecutive
800_(number)
triangular number, sum of 5 consecutive primes (367 + 373 + 379 + 383 + 389) hexagonal number, centered pentagonal number, centered triangular number 1892 =
1000_(number)
Natural number
ways than any smaller number. 32760 = harmonic divisor number 32761 = 1812, centered hexagonal number 32767 = 215 − 1, largest positive value for a signed
30,000
Regular tiling of a two-dimensional space
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex
Hexagonal_tiling
Natural number
number following 189 and preceding 191. 190 is a triangular number, a hexagonal number, and a centered nonagonal number, the fourth figurate number (after
190_(number)
Shape with six sides
Hexagonal crystal system Hexagonal number Hexagonal tiling: a regular tiling of hexagons in a plane Hexagram: six-sided star within a regular hexagon
Hexagon
Cloud pattern on the planet Saturn
Saturn's hexagon is a persistent approximately hexagonal cloud pattern around the north pole of the planet Saturn, located at about 78°N. The sides of
Saturn's_hexagon
Union of crystal groups with related structures and lattices
crystallography, the hexagonal crystal family is one of the six crystal families, which includes two crystal systems (hexagonal and trigonal) and two
Hexagonal_crystal_family
Figurate number
number and the nth (m + 1)-gonal number is the (n − 1)th triangular number. For example, the sixth heptagonal number (81) minus the sixth hexagonal number
Triangular_number
Dense arrangement of congruent spheres in an infinite, regular arrangement
face-centered cubic lattice – with different orientation to the ground. Hexagonal close-packing would result in a six-sided pyramid with a hexagonal base
Close-packing of equal spheres
Close-packing_of_equal_spheres
Number divisible only by 1 and itself
A prime number (or a prime) is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that
Prime_number
Integer having a non-trivial divisor
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Accordingly, it is a positive integer that has
Composite_number
Prism with a 6-sided base
In geometry, the hexagonal prism is a prism with hexagonal base. this polyhedron has 8 faces, 18 edges, and 12 vertices. A hexagonal prism has twelve
Hexagonal_prism
Figurate number
550, 726, 936, 1183, ... (sequence A002411 in the OEIS). The first few hexagonal pyramidal numbers are: 1, 7, 22, 50, 95, 161, 252, 372, 525, 715, 946
Pyramidal_number
Ten raised to an integer power
the number ten; in other words, ten multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one
Power_of_10
Map subdivided into a hexagonal tiling, small regular hexagons of identical size
games and video games. A hex map is subdivided into a hexagonal tiling, small regular hexagons of identical size. The primary advantage of a hex map over
Hex_map
Number equal to the sum of its proper divisors
2^{p-1}} -th hexagonal number. Furthermore, each even perfect number except for 6 is the 2 p + 1 3 {\displaystyle {\tfrac {2^{p}+1}{3}}} -th centered nonagonal
Perfect_number
Natural number
Waring's problem). It is the number of compositions of 8 into distinct parts. The number of nodes in regular hexagon with all diagonals drawn is nineteen
19_(number)
Product of an integer with itself
Every odd square is also a centered octagonal number. Another property of a square number is that (except 0) it has an odd number of positive divisors, while
Square_number
Numbers with a certain property involving recursive summation
In number theory, a happy number is a number which eventually reaches 1 when the number is replaced by the sum of the square of each digit. For instance
Happy_number
Centered figurate number that represents a heptagon with a dot in the center
A centered heptagonal number is a centered figurate number that represents a heptagon with a dot in the center and all other dots surrounding the center
Centered_heptagonal_number
Number of dots in a centred dot square
elementary number theory, a centered square number is a centered figurate number that gives the number of dots in a square with a dot in the center and all
Centered_square_number
Number that is less than the sum of its proper divisors
In number theory, an abundant number or excessive number is a positive integer for which the sum of its proper divisors is greater than the number. The
Abundant_number
Centered figurate number representing a tetrahedron
In mathematics, a centered tetrahedral number is a centered figurate number that represents a tetrahedron. That is, it counts the dots in a three-dimensional
Centered_tetrahedral_number
Numbers obtained by adding the two previous ones
Sequences, OEIS Foundation Kepler, Johannes (1966), A New Year Gift: On Hexagonal Snow, Oxford University Press, p. 92, ISBN 978-0-19-858120-8 Strena seu
Fibonacci_sequence
Crystallography concept
packing fraction. Hexagonal close-packed (HCP): 0.74 Face-centered cubic (FCC): 0.74 (also called cubic close-packed, CCP) Body-centered cubic (BCC): 0.68
Atomic_packing_factor
Centered figurate number that represents an octagon with a dot in the center
centered octagonal number is a centered figurate number that represents an octagon with a dot in the center and all other dots surrounding the center
Centered_octagonal_number
Centered figurate number that represents a nonagon with a dot in the center
A centered nonagonal number, (or centered enneagonal number), is a centered figurate number that represents a nonagon with a dot in the center and all
Centered_nonagonal_number
Numbers that contain only the digit 1
In recreational mathematics, a repunit is a number like 11, 111, or 1111 that contains only the digit 1 — a more specific type of repdigit. The term stands
Repunit
Arrangement of numbers
A magic hexagon of order n is an arrangement of numbers in a centered hexagonal pattern with n cells on each edge, in such a way that the numbers in each
Magic_hexagon
Centered figurate number that represents a pentagon with a dot in the center
In mathematics, a centered pentagonal number is a centered figurate number that represents a pentagon with a dot in the center and all other dots surrounding
Centered_pentagonal_number
Type of composite integer
In number theory, a Smith number is a composite number for which, in a given number base, the sum of its digits is equal to the sum of the digits in its
Smith_number
Concept in number theory
In number theory, a narcissistic number (also known as a pluperfect digital invariant (PPDI), an Armstrong number (after Michael F. Armstrong) or a plus
Narcissistic_number
Geometry and crystallography point array
correspond to the 4 remaining lattice categories: square, hexagonal, rectangular, and centered rectangular. Thus altogether there are 5 Bravais lattices
Bravais_lattice
Geometric pattern used in art
n^{3}-(n-1)^{3}=3n^{2}-3n+1=3n(n-1)+1} , where n is the number of rings, forming the centered hexagonal numbers. These overlapping circles can also be seen
Overlapping_circles_grid
Number that remains the same when its digits are reversed
A palindromic number (also known as a numeral palindrome or a numeric palindrome) is a number (such as 16361) that remains the same when its digits are
Palindromic_number
Natural number
is the 5th triangular number, a hexagonal number, and pentadecagonal number. a centered tetrahedral number. the smallest number that can be factorized
15_(number)
Recursive integer sequence
triangulation). The number of triangles formed is n and the number of different ways that this can be achieved is Cn. The following hexagons illustrate the
Catalan_number
Refractory compound of boron and nitrogen with formula BN
crystalline form is the hexagonal one, also called h-BN, α-BN, g-BN, graphitic boron nitride and "white graphite". Hexagonal boron nitride (point group
Boron_nitride
Iterative algorithm on numbers
In number theory, Kaprekar’s routine is an iterative algorithm named after its inventor, Indian mathematician D. R. Kaprekar. Each iteration starts with
Kaprekar's_routine
Integer divisible by sum of its digits
In recreational mathematics, a harshad number (or Niven number) in a given number base is an integer that is divisible by the sum of its digits when written
Harshad_number
Base-dependent property of integers
In mathematics, a natural number in a given number base is a p {\displaystyle p} -Kaprekar number if the representation of its square in that base can
Kaprekar_number
Number used for counting
natural-number results: subtracting a larger natural number from a smaller one results in a negative number and dividing one natural number by another
Natural_number
Centered figurate number that counts points in a three-dimensional pattern
is the number of points in a body-centered cubic pattern within a cube that has n + 1 points along each of its edges. The first few centered cube numbers
Centered_cube_number
Type of Poulet number
In number theory, a super-Poulet number is a Poulet number, or pseudoprime to base 2, whose every divisor d {\displaystyle d} divides 2 d − 2 {\displaystyle
Super-Poulet_number
Number whose divisors summed twice over equal twice itself
In number theory, a superperfect number is a positive integer n that satisfies σ 2 ( n ) = σ ( σ ( n ) ) = 2 n , {\displaystyle \sigma ^{2}(n)=\sigma (\sigma
Superperfect_number
Number equal to the sum of all or some of its divisors
In number theory, a semiperfect number or pseudoperfect number is a natural number n equal to the sum of all or some of its proper divisors. A semiperfect
Semiperfect_number
Number whose square ends in the same digits
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose
Automorphic_number
Prime number of the form 2^n – 1
mathematics, a Mersenne prime is a prime number that is one less than a power of two. That is, it is a prime number of the form Mn = 2n − 1 for some integer
Mersenne_prime
Two raised to an integer power
A power of two is a number of the form 2n where n is an integer, that is, the result of exponentiation with the number two as the base and integer n as
Power_of_two
Number of stacked spheres in a pyramid
In mathematics, a pyramid number, or square pyramidal number, is a natural number that counts the stacked spheres in a pyramid with a square base. The
Square_pyramidal_number
Number used to approximate the square root of 2
starts with 0 and 1, and then each Pell number is the sum of twice the previous Pell number, plus the Pell number before that. The first few terms of the
Pell_number
Number raised to the third power
curve has a center of symmetry at the origin, but no axis of symmetry. A cube number, or a perfect cube, or sometimes just a cube, is a number which is the
Cube_(algebra)
Natural number
triangular number, the 64th hexagonal number, a happy number, the eighth 292-gonal number, and the fourth 1356-gonal number, as well as the 43rd centered nonagonal
8128
Centered figurate number representing a dodecahedron
mathematics, a centered dodecahedral number is a centered figurate number that represents a dodecahedron. The centered dodecahedral number for a specific
Centered_dodecahedral_number
Concept in combinatorics
In mathematics, the cake number, denoted by Cn, is the maximum of the number of regions into which a 3-dimensional cube can be partitioned by exactly
Cake_number
Composite number in number theory
In number theory, a Carmichael number is a composite number n {\displaystyle n} which in modular arithmetic satisfies the congruence relation: b n
Carmichael_number
Integer having only small prime factors
In number theory, an n-smooth (or n-friable) number is an integer whose prime factors are all less than or equal to n. For example, a 7-smooth number is
Smooth_number
Size of a geometric arrangement of points
= 82. There is a similar gnomon with centered hexagonal numbers adding up to make cubes of each integer number. Dickson, L. E. (1919), History of the
Figurate_number
Polyhedral number representing a tetrahedron
n is the number of houses. Centered triangular number Simplex number http://demonstrations.wolfram.com/GeometricProofOfTheTetrahedralNumberFormula Baumann
Tetrahedral_number
Type of natural number
In number theory, a colossally abundant number (sometimes abbreviated as CA) is a natural number that, in a particular, rigorous sense, has many divisors
Colossally_abundant_number
Abundant number whose proper divisors are all deficient numbers
primitive abundant number is an abundant number whose proper divisors are all deficient numbers. For example, 20 is a primitive abundant number because: The
Primitive_abundant_number
Count of permutations by cycles
Stirling numbers of the first kind count permutations according to their number of cycles (counting fixed points as cycles of length one). The Stirling
Stirling numbers of the first kind
Stirling_numbers_of_the_first_kind
Hexaferrite
Hexagonal ferrites or hexaferrites are a family of ferrites with hexagonal crystal structure. The most common member is BaFe12O19, also called barium ferrite
Hexagonal_ferrite
Arithmetic operation
give the number of possible values for an n-bit integer binary number; for example, a byte may take 28 = 256 different values. The binary number system
Exponentiation
Class of binary number
In number theory, an evil number is a non-negative integer that has an even number of 1s in its binary expansion. These numbers give the positions of
Evil_number
Type of positive integer
In number theory, a positive integer k is said to be an Erdős–Woods number if it has the following property: there exists a positive integer a such that
Erdős–Woods_number
Crystallographic system where the unit cell is in the shape of a cube
placements of their hexagonal layers. The [111] plane of a face-centered cubic lattice is a hexagonal grid. Attempting to create a base-centered cubic lattice
Cubic_crystal_system
Number of form 2^(2^p-1)-1 with prime exponent
In mathematics, a double Mersenne number is a Mersenne number of the form M M p = 2 2 p − 1 − 1 {\displaystyle M_{M_{p}}=2^{2^{p}-1}-1} where p {\displaystyle
Double_Mersenne_number
Numbers that evenly divide powers of 60
length be a regular number. Book VIII of Plato's Republic involves an allegory of marriage centered on the highly regular number 604 = 12,960,000 and
Regular_number
Class of natural numbers with many divisors
In number theory, a superior highly composite number is a natural number which, in a particular rigorous sense, has many divisors. Particularly, it is
Superior highly composite number
Superior_highly_composite_number
Munchausen number
In number theory, a perfect digit-to-digit invariant (PDDI; also known as a Munchausen number) is a natural number in a given number base b {\displaystyle
Perfect digit-to-digit invariant
Perfect_digit-to-digit_invariant
Centered figurate number representing an octahedron
In mathematics, a centered octahedral number or Haüy octahedral number is a figurate number that counts the points of a three-dimensional integer lattice
Centered_octahedral_number
Repeated sum of a number's digits
The digital root (also repeated digital sum) of a natural number in a given radix is the (single digit) value obtained by an iterative process of summing
Digital_root
Product of two prime numbers
In number theory, a semiprime is a natural number that is the product of exactly two prime numbers. The two primes in the product may equal each other
Semiprime
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
Boy/Male
Hindu, Indian, Marathi, Sanskrit
Center
Surname or Lastname
English
English : metonymic occupational name for a maker of belts and girdles, from Middle English ceinture, ceintere ‘girdle’.Possibly an Americanized form of German Zehnder, a variant of Zehner.
Boy/Male
Arabic, Muslim
Censured; Blamed
Girl/Female
Hindu
Holy water, Pilgrimage centers
Boy/Male
Indian
Centered
Girl/Female
Hindu
Holy water, Pilgrimage centers
Boy/Male
Muslim
Centered
Boy/Male
Tamil
Prankit | பà¯à®°à®¨à¯à®•ித
Center of attraction
Prankit | பà¯à®°à®¨à¯à®•ித
Boy/Male
Hindu, Indian
A Pilgrim Centre in India
Boy/Male
Biblical
Prisoner; fettered.
Boy/Male
Arabic, Muslim
Centred
Girl/Female
Australian, Finnish, Japanese
In the Middle of the Ocean; Ocean Centred
Boy/Male
Hindu, Indian, Sanskrit
The Heart Center
Boy/Male
Indian, Modern
Center of Attraction
Girl/Female
Tamil
Holy water, Pilgrimage centers
Biblical
prisoner; fettered
Biblical
fettered by beauty
Boy/Male
Muslim
Censured, Blamed
Boy/Male
Gujarati, Hindu, Indian
Core; Centre; Heart's Feeling
Girl/Female
Tamil
Holy water, Pilgrimage centers
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
Boy/Male
Tamil
Relation
Boy/Male
Hindu, Indian, Tamil, Unique
Leadership for World; Lord Shiva
Male
Italian
Italian and Spanish form of Latin Prosperus, PROSPERO means "fortunate, successful." Shakespeare used this name in his play "The Tempest."
Boy/Male
Arabic, Muslim
The Truthful; Title of Abu Bakr; The First Righteous Caliph
Boy/Male
Indian
The light
Girl/Female
Scottish
Promontory. From the peninsula. A Scottish place name and surname.
Girl/Female
Hindu
Ragam
Boy/Male
Indian, Tamil
God
Female
Spanish
Spanish pet form of Hebrew Sarah, SARITA means "noble lady, princess."
Girl/Female
Hindu
Green flowerless plants
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
CENTERED HEXAGONAL-NUMBER
a.
Heptagonal.
adv.
Hexagonally.
n. & v.
See Center.
a.
Alt. of Self-centred
a.
Centered in itself, or in one's self.
n.
A hexagon.
a.
Not centered; without a center.
a.
Having six sides and six angles; six-sided.
v. t.
Alt. of Centre
a.
Seeming as if fettered, as the feet of certain animals which bend backward, and appear unfit for walking.
v. i.
Alt. of Centre
imp. & p. p.
of Centre
a.
Having six angles; hexagonal.
a.
Affected with canker; as, a cankered mouth.
a.
Having twelve similar faces; as, a dihexagonal prism.
adv.
In an hexagonal manner.
v. i.
To be placed in a center; to be central.
v. t.
To form a recess or indentation for the reception of a center.
a.
Consisting of two hexagonal parts united; thus, a dihexagonal pyramid is composed of two hexagonal pyramids placed base to base.