Properties of the Number 68393

Sixty-Eight Thousand Three Hundred Ninety-Three

Basics

Value: 68392 → 68393 → 68394

Parity: odd

Prime: No

Previous Prime: 68389

Next Prime: 68399

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 13 × 5261

Divisors: 1, 13, 5261, 68393

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101100101001

Octal: 205451

Duodecimal: 336B5

Hexadecimal: 10b29

Square: 4677602449

Square Root: 261.5205536855564

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

Triangle T(n,k) read by rows: the real part of the coefficient [x^k] of (1-x)ⁿ⁺¹ * ∑_s>=0 ((2·s + 1 + 2·i)ⁿ)*x^s, where i is the imaginary unit. A179087

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of ∏_j>=1 (1+x^j)^{j^k} in powers of x. A284992

Number of partitions of n X n checkerboard by two edgewise-connected sets which produce the maximum n²-2n+2 frontier edges between the two sets. Partitions equal under rotation or reflection are counted only once. A68393