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Positive integer that is the product of three distinct prime numbers
In number theory, a sphenic number (from Ancient Greek: σφήν, 'wedge') is a positive integer that is the product of three distinct prime numbers. For
Sphenic_number
Natural number
triangular number and a happy number. 902 = 2 × 11 × 41. It is a sphenic number, a nontotient, and a Harshad number. 903 = 3 × 7 × 43. It is a sphenic number, a
900_(number)
Natural number
non-isomorphic set-systems of weight 9. 606 = 2 × 3 × 101. It is a sphenic number, an admirable number and the sum of six consecutive primes (89 + 97 + 101 + 103
600_(number)
Natural number
is a sphenic number, a nontotient and a Harshad number. There are 402 graphs with 8 nodes and 9 edges. 403 = 13 × 31. It is a heptagonal number, a zero
400_(number)
Natural number
is a sphenic number. There are 805 partitions of 38 into nonprime parts 806 = 2 × 13 × 31. It is a sphenic number, a nontotient, a happy number, and the
800_(number)
Natural number
index. 704 = 26 × 11. It is a Harshad number and a lazy caterer number. 705 = 3 × 5 × 47. It is a sphenic number the smallest Bruckman-Lucas pseudoprime
700_(number)
Natural number
centered icosahedral number. 310 = 2 × 5 × 31. It is a sphenic number meaning that it has 3 prime factors. It is a noncototient number because m − φ(m) =
300_(number)
Natural number
triangular number, 497th sphenic number 3087 – sum of first 40 primes 3109 – super-prime 3119 – safe prime 3121 – centered square number, emirp, largest minimal
3000_(number)
Natural number
for n = 10. 506 = 2 × 11 × 23. It is a sphenic number, a square pyramidal number, a pronic number, a Harshad number. 10 506 − 10 253 − 1 {\displaystyle
500_(number)
Natural number
The first sphenic number or triprime, 30 is the product of the first three primes 2, 3, and 5). 29 is a tetranacci number and a Perrin number, preceded
29_(number)
Natural number
number following 65 and preceding 67. 66 is a sphenic number, a semiperfect number, and a Erdős–Woods number. It is also the 11th triangular number and
66_(number)
Natural number
number that is a perfect cube. Sphenic numbers always have exactly eight divisors. 8 is the base of the octal number system. A polygon with eight sides
8
Integer having a non-trivial divisor
squares of primes are included). A composite number with three distinct prime factors is a sphenic number. In some applications, it is necessary to differentiate
Composite_number
Natural number
natural number following 41 and preceding 43. 42 is a pronic number, an abundant number as well as a highly abundant number, a sphenic number, a practical
42_(number)
Natural number
[and] eighty-six) is the natural number following 785 and preceding 787. 786 is: a sphenic number. a harshad number in bases 4, 5, 7, 14 and 16. the aliquot
786_(number)
Natural number
product of 3 primes. It is also the smallest sphenic number to immediately precede another sphenic number. 230 a repdigit in bases 22 (AA22), 45 (5545)
230_(number)
Natural number
(seventy-eight) is the natural number following 77 and preceding 79. 78 is: the 5th discrete tri-prime; or also termed Sphenic number, and the 4th of the form
78_(number)
Natural number
natural number following 230 and preceding 232. 231 is a sphenic number. 231 is the 21st triangular number, a doubly triangular number, a hexagonal number, an
231_(number)
Natural number
fourteen) is the natural number following 113 and preceding 115. 114 is an abundant number, a sphenic number and a Harshad number. There is no answer to
114_(number)
Natural number
pentagonal pyramidal number 72771 = 3 x 127 x 191, is a sphenic number, triangular number, and hexagonal number. 73296 = is the smallest number n, for which n−3
70,000
Natural number
the natural number following 254 and preceding 256. Its factorization makes it a sphenic number. Since 255 = 28 – 1, it is a Mersenne number (though not
255_(number)
Natural number
fifty-four) is the natural number following 153 and preceding 155. 154 is a nonagonal number. Its factorization makes 154 a sphenic number. There is no integer
154_(number)
Natural number
natural number following 137 and preceding 139. 138 is a sphenic number, an Ulam number, an abundant number, and a square-free congruent number. Sloane
138_(number)
Natural number
hundred [and] ten) is the natural number following 109 and preceding 111. 110 is a sphenic number and a pronic number. Following the prime quadruplet (101
110_(number)
Natural number
natural number following 164 and preceding 166. 165 is: an odd number, a composite number, and a deficient number. a sphenic number. a tetrahedral number. the
165_(number)
Natural number
two) is the natural number following 101 and preceding 103. 102 is an abundant number and a semiperfect number. It is a sphenic number. The sum of Euler's
102_(number)
Natural number
(one hundred [and] thirty) is the natural number following 129 and preceding 131. 130 is a sphenic number. It is a noncototient since there is no answer
130_(number)
Natural number
and base 16 (AA), as well as in bases 33, 84, and 169. It is also a sphenic number. 170 is the largest integer for which its factorial can be stored in
170_(number)
Natural number
266 is 222. 266 is a sphenic number being the product of 3 prime numbers. 266 is a nontotient number which is an even number not in Euler’s totient
266_(number)
Natural number
159. It is an abundant number, a sphenic number, and a nontotient. There are 318 posets with 6 unlabeled elements. The number 318 holds some significance
318_(number)
Natural number
anagrams with 268. 286 is a tetrahedral number which means that represents a tetrahedron. 286 is a sphenic number which means that it has exactly 3 prime
286_(number)
Natural number
in base 9 (222) 182 is a sphenic number, the product of three prime factors 182 is a square-free number 182 is an Ulam number "Sloane's A005282 : Mian-Chowla
182_(number)
Natural number
to two directions. 285 is a sphenic number which means that it has three distinct prime factors. 285 is a Harshad number. That means that it is divisible
285_(number)
square number besides 1 that is also a square number. 27, the cube of 3, the value of 33. 28, the second perfect number. 30, the smallest sphenic number. 32
List_of_numbers
Natural number
[and] ninety) is the natural number following 289 and preceding 291. The product of three primes, 290 is a sphenic number, and the sum of four consecutive
290_(number)
Natural number
× 61, meaning it is a composite number. 366 is also a sphenic number. The value of p(366) is prime. 366 is the number of unimodular 2 X 2 matrices having
366_(number)
Natural number
natural number following 272 and preceding 274. 273 is a sphenic number, being the product of three distinct primes: 3 × 7 × 13. It is also a lucky number, a
273_(number)
Natural number
dodecagonal number, and the first Zeisel number. It is the first odd sphenic number. 105 is the double factorial of 7. It is also the sum of the first five
105_(number)
Natural number
the natural number following 1000 and preceding 1002. 1001 is a sphenic number, a pentagonal number, a pentatope number, the 14th number k {\displaystyle
1001_(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
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
hundred [and] fifty-eight) is the natural number following 257 and preceding 259. 258 is: a sphenic number a nontotient the sum of four consecutive prime
258_(number)
Natural number
natural number following 609 and preceding 611. 610 is a deficient number, a Markov number, a sphenic number, a generalized pentagonal number, and the
610_(number)
Product of two prime numbers
(23 rows and 73 columns, or 73 rows and 23 columns). Chen's theorem Sphenic number, a product of three distinct primes Parity problem (sieve theory) Sloane
Semiprime
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 equal to the sum of its proper divisors
In number theory, a perfect number is a positive integer that is equal to the sum of its positive proper divisors, that is, divisors excluding the number
Perfect_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
Lucky number Powerful number Primeval number Palindromic number Telephone number Triangular square number Harmonic divisor number Sphenic number Smith
List of recreational number theory topics
List_of_recreational_number_theory_topics
Product of prime numbers, plus one
there are infinitely many prime numbers. A Euclid number of the second kind (also called Kummer number) is an integer of the form En = pn # − 1, where pn #
Euclid_number
Number that is abundant but not semiperfect
In number theory, a weird number is a natural number that is abundant but not semiperfect. In other words, the sum of the proper divisors (divisors including
Weird_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
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
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
Multiplicative function in number theory
Rosetta Code Sage Liouville function Mertens function Ramanujan's sum Sphenic number Hardy & Wright, Notes on ch. XVI: "... μ ( n ) {\displaystyle \mu (n)}
Möbius_function
Mathematical concept
Cullen number is a member of the integer sequence C n = n ⋅ 2 n + 1 {\displaystyle C_{n}=n\cdot 2^{n}+1} (where n {\displaystyle n} is a natural number). Cullen
Cullen_number
Number of the form x^y + y^x
In number theory, a Leyland number is a number of the form x y + y x {\displaystyle x^{y}+y^{x}} where x and y are integers greater than 1. They are named
Leyland_number
Prime number congruent to 1 mod 4
A Pythagorean prime is a prime number of the form 4 n + 1 {\displaystyle 4n+1} . Pythagorean primes are exactly the odd prime numbers that are the sum
Pythagorean_prime
Number of the form (n * 2^n) - 1
number theory, a Woodall number (Wn) is any natural number of the form W n = n ⋅ 2 n − 1 {\displaystyle W_{n}=n\cdot 2^{n}-1} for some natural number
Woodall_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
Type of figurate number
In mathematics, a polygonal number is a number that counts dots arranged in the shape of a regular polygon. These are one type of 2-dimensional figurate
Polygonal_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
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
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
The triangular lattice representing the n {\displaystyle n} th triangular number contains n {\displaystyle n} rows: the first row contains one point, the
Triangular_number
Numbers that evenly divide powers of 60
and have different names coming from their different areas of study. In number theory, these numbers are called 5-smooth, because they can be characterized
Regular_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
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
Prime number of the form (2ᵖ+1)/3
In number theory, a Wagstaff prime is a prime number of the form 2 p + 1 3 {\displaystyle {{2^{p}+1} \over 3}} where p is an odd prime. Wagstaff primes
Wagstaff_prime
Product of an integer with itself
In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with
Square_number
Polyhedral number representing a tetrahedron
A tetrahedral number, or triangular pyramidal number, is a figurate number that represents a pyramid with a triangular base and three sides, called a tetrahedron
Tetrahedral_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 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
Integer of the form 3 × 2^n – 1 for non-negative n
In number theory, a Thabit number, Thâbit ibn Qurra number, or 321 number is an integer of the form 3 ⋅ 2 n − 1 {\displaystyle 3\cdot 2^{n}-1} for a non-negative
Thabit_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
Number whose sums of distinct divisors represent all smaller numbers
In number theory, a practical number or panarithmic number is a positive integer n {\displaystyle n} such that all smaller positive integers can be represented
Practical_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
Prime such that p^2 divides 2^(p-1)-1
In number theory, a Wieferich prime is a prime number p such that p2 divides 2p − 1 − 1, therefore connecting these primes with Fermat's little theorem
Wieferich_prime
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
Mathematics: 28 is the second perfect number. Mathematics: 30 is the smallest sphenic number. Mathematics: 36 is the smallest number which is a perfect power but
Orders_of_magnitude_(numbers)
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
Size of a geometric arrangement of points
The term figurate number is used by different writers for members of different sets of numbers, generalizing from triangular numbers to different shapes
Figurate_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
Figurate number
A pentagonal number is a figurate number that extends the concept of triangular and square numbers to the pentagon, but, unlike the first two, the patterns
Pentagonal_number
Result on density of prime numbers
. In number theory, Bertrand's postulate is the theorem that for any integer n > 3 {\displaystyle n>3} , there exists at least one prime number p {\displaystyle
Bertrand's_postulate
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
Number with few prime factors
Verteilung der Primzahlen. Vol. 1. Chelsea Publishing Company. p. 211. sphenic number – name for square-free 3-almost primes Weisstein, Eric W. "Almost prime"
Almost_prime
Number that represents a hexagon with a dot in the center
mathematics and combinatorics, a centered hexagonal number, or centered hexagon number, is a centered figurate number that represents a hexagon with a dot in the
Centered_hexagonal_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
Type of integer in number theory
In number theory, a polite number is a positive integer that can be written as the sum of two or more consecutive positive integers. A positive integer
Polite_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
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
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
is even, and is −1 if Ω ( n ) {\displaystyle \Omega (n)} is odd. A sphenic number is square-free and the product of 3 distinct primes, i.e. it has ω (
Table_of_prime_factors
Number whose divisors add to a multiple of that number
perfect number (also called multiperfect number or pluperfect number) is a generalization of a perfect number. For a given natural number k, a number n is
Multiply_perfect_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
Prime number one less or more than a factorial
A factorial prime is a prime number that is one less or one more than a factorial (all factorials greater than 1 are even). The first 10 factorial primes
Factorial_prime
Prime number of the form that allows fast modular reduction
mathematics, a Solinas prime, or generalized Mersenne prime, is a prime number that has the form f ( 2 m ) {\displaystyle f(2^{m})} , where f ( x ) {\displaystyle
Solinas_prime
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 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
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
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