Searches , social queries for CENTERED DECAGONAL-NUMBER
Search references for CENTERED DECAGONAL-NUMBER. Phrases containing CENTERED DECAGONAL-NUMBER
See searches and references containing CENTERED DECAGONAL-NUMBER!
Search references for CENTERED DECAGONAL-NUMBER. Phrases containing CENTERED DECAGONAL-NUMBER
See searches and references containing CENTERED DECAGONAL-NUMBER!CENTERED DECAGONAL-NUMBER
Centered figurate number that represents a decagon with a dot in the center
centered decagonal number is a centered figurate number that represents a decagon with a dot in the center and all other dots surrounding the center dot
Centered_decagonal_number
Figurate number representing a decagon
In mathematics, a decagonal number is a figurate number that extends the concept of triangular and square numbers to the decagon (a ten-sided polygon)
Decagonal_number
Natural number
triangular number and a centered decagonal number. 1717 = 17 × 101. It is a pentagonal number. 1719 = 32 × 131. it is a composite de Polignac number. 1720
1000_(number)
Natural number
expressed as 25 - 1. 31 is a centered triangular number, a centered pentagonal number, and a centered decagonal number. 31 equal temperament is a popular
31_(number)
Natural number
Since 913 is a semiprime, 911 is a Chen prime. It is also a centered decagonal number. There are 911 inverse semigroups of order 7. 911 is obtained
900_(number)
Natural number
strictly non-palindromic number. 361 = 192. 361 is a centered triangular number, a centered octagonal number, a centered decagonal number and a member of the
300_(number)
Natural number
41. It is a Wedderburn–Etherington number and a centered decagonal number. It is the smallest number whose reciprocal has period 10. 452 = 22 × 113. There
400_(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)
Natural number
comprises a twin prime. 151 is also a palindromic prime, a centered decagonal number, and a lucky number. 151 appears in the Padovan sequence, preceded by the
151_(number)
Class of series of figurate numbers, each having a central dot
numbers except 6, centered decagonal numbers 1, 11, 31, 61, 101, 151, 211, 281, 361, 451, 551, 661, ... (OEIS: A062786), centered hendecagonal numbers
Centered_polygonal_number
Natural number
prime factor of F12 115,975 = Bell number 116,281 = 3412, square number, centered decagonal number, 18-gonal number 117,067 = first vampire prime 117,649
100,000
Natural number
53), Chen prime, Eisenstein prime with no imaginary part, and a centered decagonal number. 281 is the smallest prime p such that the decimal period length
281_(number)
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
Shape with ten sides
The number of sides in the Petrie polygon is equal to the Coxeter number, h, for each symmetry family. Decagonal number and centered decagonal number, figurate
Decagon
Natural number
telephone number, amicable number with 2924 2625 = a centered octahedral number 2626 – decagonal number 2628 – triangular number 2641 – centered pentagonal
2000_(number)
Natural number
centered octagonal number, dodecagonal number 3037 – star number, cousin prime with 3041 3046 – centered heptagonal number 3052 – decagonal number 3059
3000_(number)
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
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
Natural number
23,1,0). an octahedral number. a centered triangular number. a centered square number. a decagonal number. the smallest number that can be expressed as
85_(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
Natural number
792, centered octagonal number 6250 – Leyland number 6263 – Sophie Germain prime, balanced prime 6269 – Sophie Germain prime 6280 – decagonal number 6311
6000_(number)
Natural number
(four thousand) is the natural number following 3999 and preceding 4001. It is a decagonal number. 4005 – triangular number 4007 – safe prime 4010 – magic
4000_(number)
Natural number
Kaprekar number, 5051 – Sophie Germain prime 5059 – super-prime 5076 – decagonal number 5081 – Sophie Germain prime 5087 – safe prime 5099 – safe prime 5107
5000_(number)
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
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
Centered figurate number that represents a triangle with a dot in the center
A centered (or centred) triangular number is a centered figurate number that represents an equilateral triangle with a dot in the center and all its other
Centered_triangular_number
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
Natural number
primes ( 67 + 71 + 73 {\displaystyle 67+71+73} ), a Chen prime, a centered decagonal prime, and a self prime. 211 is the smallest prime separated by 12
211_(number)
Natural number
number and a nontotient. There are 854 unlabeled planar trees with 11 nodes. 855 = 32 × 5 × 19. It is a decagonal number and a centered cube number.
800_(number)
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
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
Number equal to the sum of its proper divisors
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 number and
Perfect_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
Natural number
nonagonal number, centered octagonal number 8287 – super-prime 8321 – super-Poulet number 8326 – decagonal number 8345 – smallest pandigital number in base
8000_(number)
Natural number
22 × 33 × 5. It is a largely composite number, an untouchable number, a heptagonal number, and a decagonal number. It is the sum of a pair of twin primes
500_(number)
Numbers obtained by adding the two previous ones
month, the number of pairs of rabbits is equal to the number of mature pairs (that is, the number of pairs in month n – 2) plus the number of pairs alive
Fibonacci_sequence
Natural number
432 + 442 7246 – centered heptagonal number 7247 – safe prime 7260 – triangular number 7267 – decagonal number 7272 – Kaprekar number 7283 – super-prime
7000_(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
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
Natural number
octagonal number 9029 – Sophie Germain prime 9041 – super-prime 9045 – triangular number 9059 – Sophie Germain prime 9072 – decagonal number 9077 – Markov
9000_(number)
Natural number
introducing this concept. It is also a Fermat pseudoprime, a decagonal number, and a centered square number. It is a member of the Moser–de Bruijn sequence of sums
1105_(number)
Odd number with specific properties
In number theory, a Sierpiński number is an odd natural number k such that k × 2 n + 1 {\displaystyle k\times 2^{n}+1} is composite for all natural numbers
Sierpiński_number
Area of a right triangle with rational-numbered sides
In number theory, a congruent number is a positive integer that is the area of a right triangle with three rational number sides. A more general definition
Congruent_number
Natural number
is a decagonal number and a zero of the Mertens function. 638 = 2 × 11 × 29. It is a sphenic number, a nontotient, a centered heptagonal number, and the
600_(number)
Natural number
number and the 38th triangular number. 742 = 2 × 7 × 53. It is a sphenic number, a decagonal number, an icosahedral number, and a lazy caterer number
700_(number)
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
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
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
Square of a triangular number
In number theory, the sum of the first n cubes is the square of the nth triangular number. That is, 1 3 + 2 3 + 3 3 + ⋯ + n 3 = ( 1 + 2 + 3 + ⋯ + n ) 2
Squared_triangular_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
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
Number, non-palindrome after repeated sum with reverse
numbers exist? More unsolved problems in mathematics A Lychrel number is a natural number that cannot form a palindrome through the iterative process of
Lychrel_number
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
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
Recursive integer sequence
they were previously discovered in the 1730s by Minggatu. The n-th Catalan number can be expressed directly in terms of the central binomial coefficients
Catalan_number
Figurate number
Knowing the triangular numbers, one can reckon any centered polygonal number; the nth centered k-gonal number is obtained by the formula C k n = k T n − 1 +
Triangular_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 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
Two or more natural numbers with a common abundancy index
In number theory, friendly numbers are two or more natural numbers with a common abundancy index, the ratio between the sum of divisors of a number and
Friendly_number
Arithmetic operation
b x {\displaystyle b^{x}} for any positive real number base b {\displaystyle b} and any real number exponent x {\displaystyle x} . A more involved definition
Exponentiation
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
Three-dimensional figurate centered icosahedral numbers
of a cuboctahedron, and are a magic number for the face-centered cubic lattice. The centered icosahedral number for a specific n {\displaystyle n} is
Centered_icosahedral_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
Type of figurate number
additional layer. Centered tetrahedral numbers Centered cube numbers Centered octahedral numbers Centered dodecahedral numbers Centered icosahedral numbers
Centered_polyhedral_number
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
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
Type of figurate number
The number 1225 is hecatonicositetragonal (s = 124), hexacontagonal (s = 60), icosienneagonal (s = 29), hexagonal, square, and triangular. Centered polygonal
Polygonal_number
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
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)
Integer filtered out using a sieve similar to that of Eratosthenes
In number theory, a lucky number is a natural number in a set which is generated by a certain "sieve". This sieve is similar to the sieve of Eratosthenes
Lucky_number
Polyhedral number representing a tetrahedron
also a tetrahedral number, Ten−2 where n is the number of houses. Centered triangular number Simplex number "Wolfram Demonstrations Project". Baumann, Michael
Tetrahedral_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
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
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
Polygonal number Triangular number Square number Pentagonal number Hexagonal number Heptagonal number Octagonal number Nonagonal number Decagonal number Centered
List of recreational number theory topics
List_of_recreational_number_theory_topics
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
Mathematical sequences in combinatorics
frequently arise in combinatorics. Moreover, all three can be defined as the number of partitions of n elements into k non-empty subsets, where each subset
Stirling_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
Type of figurate number
both hexagonal and perfect squares starts 1, 1225, 1413721,... OEIS: A046177. Centered hexagonal number Weisstein, Eric W. "Hexagonal Number". MathWorld.
Hexagonal_number
Count of the possible partitions of a set
2,5,15,52,203,877,4140,\dots } (sequence A000110 in the OEIS). The Bell number B n {\displaystyle B_{n}} counts the different ways to partition a set that
Bell_number
Figurate number
A pyramidal number is the number of points in a pyramid with a polygonal base and triangular sides. The term often refers to square pyramidal numbers,
Pyramidal_number
Number that is the result of operation on its own digits
A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination
Friedman_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
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
Integer whose multiples are digit rotations
A cyclic number is an integer for which cyclic permutations of the digits are successive integer multiples of the number. The most widely known is the
Cyclic_number
Positive integer with large prime factors
A k-rough number, as defined by Finch in 2001 and 2003, is a positive integer whose prime factors are all greater than or equal to k. k-roughness has alternately
Rough_number
Numbers in a type of Lucas sequence
starts with 0 and 1, then each following number is found by adding the number before it to twice the number before that. The first Jacobsthal numbers
Jacobsthal_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
Numbers with many divisors
highly composite number is a positive integer that has more divisors than all smaller positive integers. If d(n) denotes the number of divisors of a positive
Highly_composite_number
Number sequence 3,0,2,3,2,5,5,7,10,...
} The number of different maximal independent sets in an n-vertex cycle graph is counted by the nth Perrin number for n ≥ 2. The solution
Perrin_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
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
Positive integer of the form (2^(2^n))+1
In mathematics, a Fermat number, named after Pierre de Fermat (1601–1665), the first known to have studied them, is a positive integer of the form: F n
Fermat_number
Positive integer whose divisors have a harmonic mean that is an integer
In mathematics, a harmonic divisor number or Ore number is a positive integer whose divisors have a harmonic mean that is an integer. The first few harmonic
Harmonic_divisor_number
Infinite integer series where the next number is the sum of the two preceding it
numbers two terms apart in the Fibonacci sequence results in the Lucas number in between. The first few Lucas numbers are 2, 1, 3, 4, 7, 11, 18, 29, 47
Lucas_number
Function whose domain is the positive integers
log e ( x ) {\displaystyle \log _{e}(x)} . In number theory, an arithmetic, arithmetical, or number-theoretic function is generally any function whose
Arithmetic_function
Integer whose representation contains every digit in its number base
In mathematics, a pandigital number is an integer that in a given base has among its significant digits each digit used in the base at least once. For
Pandigital_number
Number that when multiplied by another number moves its last digit to its front
In mathematics, an n-parasitic number (in base 10) is a positive natural number which, when multiplied by n, results in movement of the last digit of its
Parasitic_number
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
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
travel, tourism, insurance
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
CENTERED DECAGONAL-NUMBER
travel, tourism, insurance