Properties of the Number 72272

Seventy-Two Thousand Two Hundred Seventy-Two

Basics

Value: 72271 → 72272 → 72273

Parity: even

Prime: No

Previous Prime: 72271

Next Prime: 72277

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ⁴ × 4517

Divisors: 1, 2, 4, 8, 16, 4517, 9034, 18068, 36136, 72272

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101001010000

Octal: 215120

Duodecimal: 359A8

Hexadecimal: 11a50

Square: 5223241984

Square Root: 268.83452159274486

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)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nXk array. A219441

a(n) = ((5 + 2·sqrt(2))*(2 + sqrt(2))ⁿ + (5 - 2·sqrt(2))*(2 - sqrt(2))ⁿ)/2. A163608

Number of compositions of n into 6 parts such that no two adjacent parts are equal. A106355

Unmatched value maps: number of nX4 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 nX4 array. A219437

Unmatched value maps: number of 6Xn binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..1 6Xn array. A219444

Number of active cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 614", based on the 5-celled von Neumann neighborhood. A72272