Properties of the Number 20585

Twenty Thousand Five Hundred Eighty-Five

Basics

Value: 20584 → 20585 → 20586

Parity: odd

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 23 × 179

Divisors: 1, 5, 23, 115, 179, 895, 4117, 20585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000001101001

Octal: 50151

Duodecimal: BAB5

Hexadecimal: 5069

Square: 423742225

Square Root: 143.47473645210155

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) is the least number k such that the k-th difference between consecutive practical numbers, A179651(k), equals 2·n, or -1 if no such k exists. A364706

The number of lit cells in weakly increasing partitions of n when light shines from the northwest. Here partitions are represented from left to right by columns of cells. A366069

Define the sequence T(a₀,a₁) by a_n+2 is the greatest integer such that a_n+2/a_n+1<a_n+1/a_n for n >= 0. This is T(8,57). A22038

"CFK" (necklace, size, unlabeled) transform of 1,2,3,4... A32141

Digital sum of the 2ⁿ-th partition number. A129491

Expansion of q·f(-q²⁰) / (f(q) * χ(-q⁵)) in powers of q where f(), χ() are Ramanujan θ functions. A145724

a(1) = 1; a(n) = 1 + a(n-1) + ∑_k=2..n a(floor(n/k)). A351621

Smallest number of multiplicative persistence n. A3001

Smallest nonempty set S containing prime divisors of 3k+7 for each k in S. A20585