Properties of the Number 20632

Twenty Thousand Six Hundred Thirty-Two

Basics

Value: 20631 → 20632 → 20633

Parity: even

Prime: No

Previous Prime: 20627

Next Prime: 20639

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 2579

Divisors: 1, 2, 4, 8, 2579, 5158, 10316, 20632

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000010011000

Octal: 50230

Duodecimal: BB34

Hexadecimal: 5098

Square: 425679424

Square Root: 143.6384349678038

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 2 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 2 4 6 or 7. A252433

Number of square binary words: binary words of length 2n obtained by self-shuffling. A191755

Number of integer compositions of n that are the first sums of some composition with all parts > 1. A391235

L.g.f.: ∑_n>=1 (xⁿ/n) * ∏_d∣n (1 + d·xⁿ). A205479

G.f.: ∑_k>=1 x^2·k-1/(1+x^2·k-1) * ∏_k>=1 1/(1-x^k). A305123

a(n) = round(e^π*sqrt(n)). A56580

Number of permutations of 2 copies of 1..n with all adjacent differences <= 1 in absolute value. A177282

Truncated cube numbers. A5912

Number of primitive (period n) step cyclic shifted sequence structures using a maximum of three different symbols. A56440

a(0)=1; a(n) = sigma₂(n) + sigma₃(n). A92344