Properties of the Number 51038

Fifty-One Thousand Thirty-Eight

Basics

Value: 51037 → 51038 → 51039

Parity: even

Prime: No

Previous Prime: 51031

Next Prime: 51043

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 ² × 151

Divisors: 1, 2, 13, 26, 151, 169, 302, 338, 1963, 3926

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100011101011110

Octal: 143536

Duodecimal: 25652

Hexadecimal: c75e

Square: 2604877444

Square Root: 225.91591356077598

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

For any number n > 0, let f(n) be the function that associates k to the prime(k)-adic valuation of n (where prime(k) denotes the k-th prime); f establishes a bijection between the positive numbers and the arithmetic functions with nonnegative integer values and a finite number of nonzero values; let g be the inverse of f; a(n) = g(f(n) * f(n)) (where i·j denotes the Dirichlet convolution of i and j). A296857

Denominators of continued fraction convergents to sqrt(711). A42369

Multiplicity of highest weight (or singular) vectors associated with character chi₁₄₁ of Monster module. A34529

11-smooth numbers: numbers whose prime divisors are all <= 11. A51038

a(n) = ∑_k=0..n binomial(4·n-3,k). A387035