Properties of the Number 72764

Seventy-Two Thousand Seven Hundred Sixty-Four

Basics

Value: 72763 → 72764 → 72765

Parity: even

Prime: No

Previous Prime: 72763

Next Prime: 72767

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 18191

Divisors: 1, 2, 4, 18191, 36382, 72764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110000111100

Octal: 216074

Duodecimal: 36138

Hexadecimal: 11c3c

Square: 5294599696

Square Root: 269.74803057668464

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

T(n,k) = Number of n X k integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. A265960

Number of nX2 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. A265956

Sum of the odd parts in the partitions of n into 9 parts. A309657

Triangular array read by rows: T(n,k) is the number of square n-permutations possessing exactly k cycles; n >= 0, 0 <= k <= n. A349645

Number of n X 5 integer arrays with each element equal to the number of horizontal, vertical, diagonal and antidiagonal neighbors less than itself. A265959

Tabular N X N -> N bijection induced by Lisp/Scheme function 'cons' combining the two planar binary trees/general trees/parenthesizations encoded by A014486(X) and A014486(Y). A72764