Properties of the Number 501

Five Hundred One

Basics

Value: 500 → 501 → 502

Parity: odd

Prime: No

Previous Prime: 499

Next Prime: 503

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 3 × 167

Divisors: 1, 3, 167, 501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110101

Octal: 765

Duodecimal: 359

Hexadecimal: 1f5

Square: 251001

Square Root: 22.38302928559939

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

Sum of the first n primes. A7504

Number of "sets of lists": number of partitions of {1,...,n} into any number of lists, where a list means an ordered subset. A262

Number of strict knapsack partitions of n. A275972

Number of partitions of n into nonzero triangular numbers. A7294

Self numbers or Colombian numbers (numbers that are not of the form m + sum of digits of m for any m). A3052

Number of tilings of a 5 X n rectangle with n pentominoes of any shape. A174249

Number A(n,k) of tilings of a k X n rectangle using pentominoes of any shape; square array A(n,k), n>=0, k>=0, read by antidiagonals. A233427

a(n) = 10·n + 1. A17281

G.f.: ∏_k>=1 (1 + x^{2·k - 1}) / (1 - x^2·k). A6950

Partial sums of A299291. A299292