Properties of the Number 50137

Fifty Thousand One Hundred Thirty-Seven

Basics

Value: 50136 → 50137 → 50138

Parity: odd

Prime: No

Previous Prime: 50131

Next Prime: 50147

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 181 × 277

Divisors: 1, 181, 277, 50137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100001111011001

Octal: 141731

Duodecimal: 25021

Hexadecimal: c3d9

Square: 2513718769

Square Root: 223.91292950609173

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 f(-x, -x⁵)² / f(x, x³) in powers of·where f(, ) is Ramanujan's general θ function. A263041

Number of pairs (p,q) of distinct partitions of n such that the set of parts in q is a subset of the set of parts in p. A369707

Scale factor by which primitive Pythagorean triangle {x=A088509(n), y=A088510(n), z=A088511(n)} needs be enlarged in order to circumscribe the smallest integral square having a side on the hypotenuse. A88544

Number of partitions of n such that each part is no more than 4 more than the sum of all smaller parts. A286097

a(1)=2; a(n) = floor(a(n-1)/2) if this is not among 0,a(1),...,a(n-1); otherwise a(n) = 2·n. A50137