Properties of the Number 72639

Seventy-Two Thousand Six Hundred Thirty-Nine

Basics

Value: 72638 → 72639 → 72640

Parity: odd

Prime: No

Previous Prime: 72623

Next Prime: 72643

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 1153

Divisors: 1, 3, 7, 9, 21, 63, 1153, 3459, 8071, 10377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101110111111

Octal: 215677

Duodecimal: 36053

Hexadecimal: 11bbf

Square: 5276424321

Square Root: 269.5162332773297

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+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255101

Integers n of the form 8k+7 that are sum of distinct squares of the form m, m+1, m+2, m+4, where m == 1 (mod 4). A243578

Triangle read by rows giving the coefficients of general sum formulas of n-th Subfactorial numbers (A000166). The k-th row (k>=1) contains T(i,k) for i=1 to 2·k-1, where T(i,k) satisfies Subf(n) = ∑_k=1..n ∑_i=1..2·k-1 T(i,k) * C(n-k,i-1) * n^n-k. A101560

Number of (n+2)X(3+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255096

Number of (n+2)X(6+2) 0..1 arrays with no 3x3 subblock diagonal sum 1 and no antidiagonal sum 1 and no row sum 1 and no column sum 1. A255099

a(0) = 0, a(n) = ∑_i=0..n-1 2^(2ⁱ-1). A72639