Properties of the Number 57459

Fifty-Seven Thousand Four Hundred Fifty-Nine

Basics

Value: 57458 → 57459 → 57460

Parity: odd

Prime: No

Previous Prime: 57457

Next Prime: 57467

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 107 × 179

Divisors: 1, 3, 107, 179, 321, 537, 19153, 57459

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000001110011

Octal: 160163

Duodecimal: 29303

Hexadecimal: e073

Square: 3301536681

Square Root: 239.70607001075297

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

Number of parts in all twice partitions of n where both partitions are strict. A327605

Main diagonal of array A255551. A255550

Numerator in Moebius transform of A001790/A046161. A180403

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, 0, 1), (1, -1, 0), (1, -1, 1), (1, 1, -1)}. A148478

a(n) = [x^n³] (1/(1 - x))*(∑_k>=1 x^k³)ⁿ. A303485

a(n+1) = smallest prime p in the range a(n) < p < a(1)*a(2)*...*a(n) such that p-1 divides a(1)*a(2)*...*a(n); or if no such prime p exists, then a(n+1) = smallest prime > a(n). A57459