Properties of the Number 42501

Forty-Two Thousand Five Hundred One

Basics

Value: 42500 → 42501 → 42502

Parity: odd

Prime: No

Previous Prime: 42499

Next Prime: 42509

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 457

Divisors: 1, 3, 31, 93, 457, 1371, 14167, 42501

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000000101

Octal: 123005

Duodecimal: 20719

Hexadecimal: a605

Square: 1806335001

Square Root: 206.15770662286675

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

a(n) is the index of the partition that contains the divisors of n in the list of colexicographically ordered partitions of the sum of the divisors of n. A299773

a(n) = 68·n² + 1. A158732

O.g.f. A(x) satisfies: [xⁿ] exp(-n²*A(x)) / (1 - n·x)ⁿ = 0, for n > 0. A319939

Denominators of continued fraction convergents to sqrt(778). A42501