Properties of the Number 32561

Thirty-Two Thousand Five Hundred Sixty-One

Basics

Value: 32560 → 32561 → 32562

Parity: odd

Prime: Yes

Previous Prime: 32537

Next Prime: 32563

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 32561

Divisors: 1, 32561

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111111100110001

Octal: 77461

Duodecimal: 16A15

Hexadecimal: 7f31

Square: 1060218721

Square Root: 180.44666802132977

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

Powers of cube root of 11 rounded down. A18006

Powers of cube root of 11 rounded to nearest integer. A18007

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[2,6,4]; short d-string notation of pattern = [264]. A78848

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally or antidiagonally adjacent to some 0 two less than the number of 0's adjacent to some 1. A293087

Primes p such that p-1 and p+1 are both divisible by fourth powers. A86709

Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 595", based on the 5-celled von Neumann neighborhood. A289583

MacMahon's solid partitions of n in which 2 is the smallest summand. A2043

Primes p such that the differences between the 5 consecutive primes starting with p are (2,6,4,6). A78949

Primes p such that p+2, p+8, and p+12 are all prime. A233540

Number of 2 X 2 matrices with all elements in {-n,..,0,..,n} with determinant = 2·permanent. A280343