Properties of the Number 20584

Twenty Thousand Five Hundred Eighty-Four

Basics

Value: 20583 → 20584 → 20585

Parity: even

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 31 × 83

Divisors: 1, 2, 4, 8, 31, 62, 83, 124, 166, 248

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101000001101000

Octal: 50150

Duodecimal: BAB4

Hexadecimal: 5068

Square: 423701056

Square Root: 143.47125147568764

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

Number of partitions of n that sorted in increasing order contain a part k in position k for some k. A238395

Let f(k) = exp(π*sqrt(k)); sequence gives numbers k such that ceiling(f(k)) - f(k) < 1/10³. A127022

Least k with precisely n partitions k = x + y satisfying σ(k) = σ(x) + σ(y). A211224

Expansion of φ(-q⁹) / φ(-q) in powers of q where φ() is a Ramanujan θ function. A128770

Expansion of (1/3) * (c(q)² / c(q²)) / (b(q)² / b(q²)) in powers of q where b(), c() are cubic AGM θ functions. A128639

Expansion of φ(q⁹) / φ(q) in powers of q where φ() is a Ramanujan θ function. A261988

Number of sets of exactly n positive integers <= n+7 having a square element sum. A281970

a(n) = ∑_{k=0..floor(n/3)} binomial(n,k)² * binomial(n-2·k,k). A383525

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 19 ones. A31787

Length of A001388(n). A46639