Properties of the Number 72890

Seventy-Two Thousand Eight Hundred Ninety

Basics

Value: 72889 → 72890 → 72891

Parity: even

Prime: No

Previous Prime: 72889

Next Prime: 72893

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 5 × 37 × 197

Divisors: 1, 2, 5, 10, 37, 74, 185, 197, 370, 394

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110010111010

Octal: 216272

Duodecimal: 36222

Hexadecimal: 11cba

Square: 5312952100

Square Root: 269.9814808463721

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 nXk 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303513

a(n) = 100·n² - 10. A158490

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 805", based on the 5-celled von Neumann neighborhood. A273604

Number of nX5 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303510

Number of 5Xn 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303516

G.f.: ( ∑_n>=0 (2·n+x)ⁿ * xⁿ / (1 + 2·n*x + x²)ⁿ )^1/2. A226045

Number of n X n 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303507

The 28-cycle of the n => σ(n)-n process, where σ(n) is the sum of divisors of n (A000203). A72890