Properties of the Number 20589

Twenty Thousand Five Hundred Eighty-Nine

Basics

Value: 20588 → 20589 → 20590

Parity: odd

Prime: No

Previous Prime: 20563

Next Prime: 20593

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 6863

Divisors: 1, 3, 6863, 20589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000001101101

Octal: 50155

Duodecimal: BAB9

Hexadecimal: 506d

Square: 423906921

Square Root: 143.4886755113448

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

Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = floor(M(n)). A139076

Number of primitive Pythagorean-like triples a²+b²=c²+k for k=5 with 0<c<=10ⁿ. A121088

Let M(n) = maximal value of (n/k)^k over all k = 1, 2, ...; a(n) = round(M(n)). A139077

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 84 ones. A31852

G.f. satisfies: A(x) = 1 + ∑_n>=1 xⁿ*A_n-1(x)ⁿ where A_n(x) = A_n-1(x) + xⁿ*A_n-1(x)ⁿ for n>0 with A₀(x)=1. A194563

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 517", based on the 5-celled von Neumann neighborhood. A272732

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MFS = ZSM-57 H1.5[Al1.5Si34.5O72] starting with a T4 atom. A19172

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 1), (-1, 0, 1), (0, 0, 1), (1, 1, -1)}. A148374

Total sum of n-th powers of parts in all partitions of 8. A229359

Smallest nonempty set S containing prime divisors of 4k+3 for each k in S. A20589