Properties of the Number 20992

Twenty Thousand Nine Hundred Ninety-Two

Basics

Value: 20991 → 20992 → 20993

Parity: even

Prime: No

Previous Prime: 20983

Next Prime: 21001

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ⁹ × 41

Divisors: 1, 2, 4, 8, 16, 32, 41, 64, 82, 128

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101001000000000

Octal: 51000

Duodecimal: 10194

Hexadecimal: 5200

Square: 440664064

Square Root: 144.88616221019868

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) = 4·a(n-1) + 8·a(n-2), with a(1)=0 and a(2)=1. A180222

Numbers of the form p⁹*q where p and q are distinct primes. A179692

Numbers k such that (number of prime factors of k counted with multiplicity) less (number of distinct prime factors of k) = 8. A195092

T(n,k)=Rolling cube face footprints: number of nXk 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal, diagonal or antidiagonal neighbor moves across a corresponding cube edge. A223269

Expansion of (η(q⁴) / η(q))⁸ in powers of q. A92877

Sum of the 4th powers of the divisor complements of the odd proper divisors of n. A352050

G.f.: ∏_k>=1 1/(1-x^k)^8·k. A193427

Length of n-th run of primes in A376198. A376754

Expansion of (theta₂(q)/theta₃(q))⁴/16 in powers of q. A5798

T(n,k)=Rolling cube face footprints: number of nXk 0..5 arrays starting with 0 where 0..5 label faces of a cube and every array movement to a horizontal or vertical neighbor moves across a corresponding cube edge. A223202