Properties of the Number 55917

Fifty-Five Thousand Nine Hundred Seventeen

Basics

Value: 55916 → 55917 → 55918

Parity: odd

Prime: No

Previous Prime: 55903

Next Prime: 55921

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 19 × 109

Divisors: 1, 3, 9, 19, 27, 57, 109, 171, 327, 513

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101001101101

Octal: 155155

Duodecimal: 28439

Hexadecimal: da6d

Square: 3126710889

Square Root: 236.46775678726266

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

Expansion of g.f.: (1-4·x*C)/(1-5·x*C) where C = (1/2-1/2*(1-4·x)^1/2)/x = g.f. for Catalan numbers A000108. A76026

Number of nX3 0..1 arrays with every element unequal to 0, 1, 3 or 4 king-move adjacent elements, with upper left element zero. A303803

Number of Dyck excursions with catastrophes from (0,0) to (n,0). A369432

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, -1, 0), (1, 0, 0), (1, 1, 0)}. A150064

Coefficients of a polynomial used in calculation of A055914. A55917

a(n) is the smallest number k for which the smallest part of the symmetric representation of σ of k, SRS(k), has size n. If no such number exists, a(n) = -1. A386608