Properties of the Number 50088

Fifty Thousand Eighty-Eight

Basics

Value: 50087 → 50088 → 50089

Parity: even

Prime: No

Previous Prime: 50087

Next Prime: 50093

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 2087

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2087, 4174

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100001110101000

Octal: 141650

Duodecimal: 24BA0

Hexadecimal: c3a8

Square: 2508807744

Square Root: 223.80348522755403

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

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231396

Expansion of q * (ψ(q⁴) / φ(-q))² in powers of q where φ(), ψ() are Ramanujan θ functions. A107035

Expansion of ∏_m>=1 (1+x^m)¹². A22577

Expansion of 1 / χ(q)¹² in powers of q where χ() is a Ramanujan θ function. A124863

Expansion of ∏_k>=1 (1 + 3·x^k)^k. A266857

a(n) = 1728·n - 24. A157287

G.f. satisfies A(A(x)) = x + 4·x³, where A(x) = ∑_n>=0 a(n)*x^2·n+1. A107099

Expansion of x * (ψ(x⁴) / φ(x))² in powers of·where φ(), ψ() are Ramanujan θ functions. A260145

Number of (2+1)X(n+1) 0..2 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231398

a(n) = floor(a(n-1)/3) if this is positive and not yet in the sequence, otherwise a(n) = 6·a(n-1). A50088