Properties of the Number 72811

Seventy-Two Thousand Eight Hundred Eleven

Basics

Value: 72810 → 72811 → 72812

Parity: odd

Prime: No

Previous Prime: 72797

Next Prime: 72817

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 × 4283

Divisors: 1, 17, 4283, 72811

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10001110001101011

Octal: 216153

Duodecimal: 36177

Hexadecimal: 11c6b

Square: 5301441721

Square Root: 269.8351348508937

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) is the number of n X k 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201539

Number of ON cells at n-th stage of three-dimensional version of the cellular automaton A160117 using cubes. A160379

Number of nX3 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201534

Number of nX7 0..2 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor. A201538

T(n,k) = multiplicity of the k-th partition of n in Mathematica order, defined to be the count of its permutations (compositions). A72811