Properties of the Number 20126

Twenty Thousand One Hundred Twenty-Six

Basics

Value: 20125 → 20126 → 20127

Parity: even

Prime: No

Previous Prime: 20123

Next Prime: 20129

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 29 × 347

Divisors: 1, 2, 29, 58, 347, 694, 10063, 20126

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111010011110

Octal: 47236

Duodecimal: B792

Hexadecimal: 4e9e

Square: 405055876

Square Root: 141.86613408421334

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

Matrix logarithm of triangle A104980. A104986

Pentagonal numbers (A000326) whose digit reversal is a semiprime (A001358). A115709

Pentagonal numbers which are products of three distinct primes. A381650

Pentagonal numbers which are the arithmetic mean of two consecutive primes. A234531

Expansion of ∏_k>=0 1 / (1 - x^{3^k})³. A374627

Ceiling of γ(n+1/6)/γ(1/6). A20126

a(n) is the smallest positive generalized pentagonal number such that A001318(n) - a(n) is twice a generalized pentagonal number. A305538

Number of length n+7 0..2 arrays with at most one downstep in every n consecutive neighbor pairs. A255114