Properties of the Number 20045

Twenty Thousand Forty-Five

Basics

Value: 20044 → 20045 → 20046

Parity: odd

Prime: No

Previous Prime: 20029

Next Prime: 20047

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 19 × 211

Divisors: 1, 5, 19, 95, 211, 1055, 4009, 20045

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111001001101

Octal: 47115

Duodecimal: B725

Hexadecimal: 4e4d

Square: 401802025

Square Root: 141.58036587041298

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

Expansion of x²*(-3+4·x)/(1-x³+x⁴). A110061

Smallest k > 0 such that (5ⁿ+k)*5ⁿ-1 and (5ⁿ+k)*5ⁿ+1 are a twin prime pair. A212487

Nonequivalent ways to place two different markers (e.g., a pair of Go stones, black and white) on an n X n grid. A242709

Number of parts in all partitions of 2n into parts with multiplicity <= n. A364245

Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1. A35994

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (1, -1, -1), (1, -1, 1), (1, 1, 0)}. A149132

Nearest integer to γ(n + 1/2)/γ(1/2). A20045