Properties of the Number 72976

Seventy-Two Thousand Nine Hundred Seventy-Six

Basics

Value: 72975 → 72976 → 72977

Parity: even

Prime: No

Previous Prime: 72973

Next Prime: 72977

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 4561

Divisors: 1, 2, 4, 8, 16, 4561, 9122, 18244, 36488, 72976

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10001110100010000

Octal: 216420

Duodecimal: 36294

Hexadecimal: 11d10

Square: 5325496576

Square Root: 270.1407040784487

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 cyclic arrangements (up to direction) of {0,1,...,n-1} such that the sum of any two neighbors is a prime. A242527

Determinants of 5 X 5 matrices consisting of 25 consecutive primes. A118815

Number of 4-step knight's tours on an (n+2) X (n+2) board summed over all starting positions. A186853

E.g.f. A(x) satisfies: A'(x) = A(x·A'(x)³) with A(0)=1. A231899

a(n) = 2ⁿ*binomial(3·n,n)*(3·n+2). A72976