Properties of the Number 22584

Twenty-Two Thousand Five Hundred Eighty-Four

Basics

Value: 22583 → 22584 → 22585

Parity: even

Prime: No

Previous Prime: 22573

Next Prime: 22613

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 941

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 941, 1882

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101100000111000

Octal: 54070

Duodecimal: 110A0

Hexadecimal: 5838

Square: 510037056

Square Root: 150.2797391533536

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

Least integer m > 0 with π(m·n) = σ(m) + σ(n), where π(.) and σ(.) are given by A000720 and A000203 respectively. A247673

Expansion of ∏_k>=1 ((1+x^k)/(1-x^k))^k+1. A261451

G.f. satisfies: A(x) = exp( ∑_n>=1 (2ⁿ + A(x))ⁿ * xⁿ/n ). A163138

Array read by antidiagonals: T(m,n) = ∑_i=1..m i*(n-1+i)!. A100630

Expansion of q / (χ(-q) * χ(-q¹¹))² in powers of q where χ() is a Ramanujan θ function. A123631

Values of y in solutions (x,y,z) to the Diophantine equation x³-x²+y³-y²=z³-z², with 1<x<y<z arranged in order of increasing x. A138668

Starting positions of strings of three 5's in the decimal expansion of π. A83620

Table read by antidiagonals: T(m,n) gives the ordinal number in the table of permutations of length n+1 of the permutation which reverses the first m+1 items on a list of length n+1, leaving the remaining items unaltered. For example, T(5,7) is 28494 and the 28494th row of the permutation table of order 8 is 5 4 3 2 1 0 6 7. A100711

Number of line segments connecting exactly 7 points in an n X n grid of points. A177723

Number of nX2 0..6 arrays with every row and column nondecreasing rightwards and downwards, and the number of instances of each value within one of each other. A201066