Properties of the Number 57266

Fifty-Seven Thousand Two Hundred Sixty-Six

Basics

Value: 57265 → 57266 → 57267

Parity: even

Prime: No

Previous Prime: 57259

Next Prime: 57269

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 × 11 × 19 × 137

Divisors: 1, 2, 11, 19, 22, 38, 137, 209, 274, 418

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111110110010

Octal: 157662

Duodecimal: 29182

Hexadecimal: dfb2

Square: 3279394756

Square Root: 239.30315501472185

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

This is to A139026 as A139026 to A139025, see A139025 for details. A139027

Triangle read by rows: T(n,k) is the number of paths of length n with steps U=(1,1), D=(1,-1) and H=(1,0), starting at (0,0), staying weakly above the x-axis (i.e., left factors of Motzkin paths) and having k peaks (i.e., UDs), 0 <= k <= floor(n/2). A132893

a(n) = (A271222(n)² + 2)/3ⁿ, n >= 0. A271226

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (-1, 1, 0), (0, 1, -1), (1, 0, 0)}. A148057

This is to A014688 as A014688 to A000027, see comments for definition. A139025

Numbers n such that n | 10ⁿ + 9ⁿ + 8ⁿ + 7ⁿ + 6ⁿ + 5ⁿ + 4ⁿ. A57266