Properties of the Number 72644

Seventy-Two Thousand Six Hundred Forty-Four

Basics

Value: 72643 → 72644 → 72645

Parity: even

Prime: No

Previous Prime: 72643

Next Prime: 72647

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 11 × 13 × 127

Divisors: 1, 2, 4, 11, 13, 22, 26, 44, 52, 127

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101111000100

Octal: 215704

Duodecimal: 36058

Hexadecimal: 11bc4

Square: 5277150736

Square Root: 269.52550899682944

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 every 3 X 3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254260

Expansion of (1/x) * Series_Reversion( x * (1-x)³ * (1-x²)³ ). A368079

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254255

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two maximums of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254261

Size of the parenthesizations obtained with the global ranking/unranking scheme A072634-A072637. A72644