Properties of the Number 72992

Seventy-Two Thousand Nine Hundred Ninety-Two

Basics

Value: 72991 → 72992 → 72993

Parity: even

Prime: No

Previous Prime: 72977

Next Prime: 72997

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ⁵ × 2281

Divisors: 1, 2, 4, 8, 16, 32, 2281, 4562, 9124, 18248

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110100100000

Octal: 216440

Duodecimal: 362A8

Hexadecimal: 11d20

Square: 5327832064

Square Root: 270.1703166522925

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

a(n) = number of primes < n⁴. A380331

Number of nX2 0..4 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A200984

Array read by downward antidiagonals: A(n,k) = ∑_{j=0..k + (k mod 3) + 1} A(n-1,j) with A(0,k) = 1, n >= 0, k >= 0. A369518

a(n) = (n!/2)*∑_k=1..n (n+k)!/(k!)³. A73014

Numbers n such that σ(n) does not divide C(2n,n). A72992

Number of 5Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two exactly once. A268890

Number of 5Xn binary arrays with some element plus some horizontally or antidiagonally adjacent neighbor totalling two not more than once. A268999