Properties of the Number 32957

Thirty-Two Thousand Nine Hundred Fifty-Seven

Basics

Value: 32956 → 32957 → 32958

Parity: odd

Prime: Yes

Previous Prime: 32941

Next Prime: 32969

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 32957

Divisors: 1, 32957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000000010111101

Octal: 100275

Duodecimal: 170A5

Hexadecimal: 80bd

Square: 1086163849

Square Root: 181.54062906137568

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of distinct values taken by 8⁸^...⁸ (with n 8's and parentheses inserted in all possible ways). A145548

Number of disconnected regular simple graphs on n vertices with girth at least 7. A185217

Expansion of 1/(1 - x*∏_k>=1 (1 - x^k)^k). A299211

Primes which are the sum of three distinct positive cubes in two or more distinct ways. A180088

Largest prime number p such that xⁿ + yⁿ mod p does not take all values on Z/pZ. A355920

Primes with 12 as smallest positive primitive root. A61325

Triangle, read by rows, where T(n,k) = n·T(n-1,k-1) + T(n-1,k-2) for n>0 and k>1, with T(n,0) = T(n-1,n-1) and T(n,1) = n·T(n-1,0) for n>0 and T(0,0) = 1. A132005

Primes p such that the multiplicative order of 2 modulo p is (p-1)/11. A152311

Primes p such that (p·s) mod q and (p·s) mod r are a pair of twin primes, where q,r,s are the next primes after p. A338751

Primes p whose smallest positive primitive root (mod p) is not squarefree. A205581