Properties of the Number 68458

Sixty-Eight Thousand Four Hundred Fifty-Eight

Basics

Value: 68457 → 68458 → 68459

Parity: even

Prime: No

Previous Prime: 68449

Next Prime: 68473

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 2633

Divisors: 1, 2, 13, 26, 2633, 5266, 34229, 68458

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101101101010

Octal: 205552

Duodecimal: 3374A

Hexadecimal: 10b6a

Square: 4686497764

Square Root: 261.6447973876033

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 X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero. A284334

Structured tetragonal anti-prism numbers. A100182

Triangle T(n, k) = 1 - (-1)ⁿ*(n! + 1) + A176013(n, k) + A176013(n, n-k+1) read by rows. A176021

Number of n X 5 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero. A284331

Number of 4 X n 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 equal to the number of 0's adjacent to some 1, with top left element zero. A284337

Factorial expansion of ζ(9) = ∑_n>=1 a(n)/n!. A68458