Properties of the Number 55857

Fifty-Five Thousand Eight Hundred Fifty-Seven

Basics

Value: 55856 → 55857 → 55858

Parity: odd

Prime: No

Previous Prime: 55849

Next Prime: 55871

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 43 × 433

Divisors: 1, 3, 43, 129, 433, 1299, 18619, 55857

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101000110001

Octal: 155061

Duodecimal: 283A9

Hexadecimal: da31

Square: 3120004449

Square Root: 236.34085554554466

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 integer partitions of n with integer median of 0-appended first differences. A360688

T(n,k) = number of (n+1) X (k+1) 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4. A183748

Composite numbers whose prime factors contain no digits other than 3 and 4. A36314

Number of (n+1) X 3 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4. A183741

Number of (n+1) X 4 0..2 arrays with equal numbers of 2 X 2 subblocks with sum over 4 and with sum under 4. A183742

Least common multiple (or LCM) of {1, 2, ..., n} for n >= 1, a(0) = 1. A3418

Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0. A63865

a(n) = lcm(n,2). A109043

a(n) = 34·a(n-1)-a(n-2)-4232 for n > 2; a(1)=289, a(2)=4225. A156575

Susceptibility series H₆ for 2-dimensional Ising model (divided by 2). A55857