Properties of the Number 51182

Fifty-One Thousand One Hundred Eighty-Two

Basics

Value: 51181 → 51182 → 51183

Parity: even

Prime: No

Previous Prime: 51169

Next Prime: 51193

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 157 × 163

Divisors: 1, 2, 157, 163, 314, 326, 25591, 51182

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011111101110

Octal: 143756

Duodecimal: 25752

Hexadecimal: c7ee

Square: 2619597124

Square Root: 226.23439172681063

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 φ(q⁴) / φ(q) in powers of q where φ() is a Ramanujan θ function. A112128

Expansion of φ(q⁴) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A208933

Number of integer partitions of 2n such that 2*(minimum) = (mean). A363132

Number of 3-ary plane multitrees with n edges. A246974

G.f. A(x) = ∑_n>=0 xⁿ*F(x)ⁿ/(1 - x·F(x)ⁿ⁺⁴), where F(x) is the g.f. of A350117. A351772

Expansion of 1 / ((1-x)*(1-x+x²+x³)). A77872

Numbers k such that floor((3/2)^k)-floor((3/2)^k-1) is a prime number. A243591

a(1) = 12; for n >= 2, a(n) = least positive integer of the form prime(m)*prime(n-m)*prime(n) with m >= 1. A364434

Number of 5-element intersecting families of an n-element set. A51182

G.f. A(x) satisfies: ∑_n>=0 xⁿ*A(x)ⁿ/(1 - x·A(x)ⁿ⁺⁴) = ∑_n>=0 xⁿ*A(x)^2·n/(1 - x·A(x)^3·n+3). A350117