Properties of the Number 18558

Eighteen Thousand Five Hundred Fifty-Eight

Basics

Value: 18557 → 18558 → 18559

Parity: even

Prime: No

Previous Prime: 18553

Next Prime: 18583

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 1031

Divisors: 1, 2, 3, 6, 9, 18, 1031, 2062, 3093, 6186

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100100001111110

Octal: 44176

Duodecimal: A8A6

Hexadecimal: 487e

Square: 344399364

Square Root: 136.22775047691275

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(1) = greatest k such that H(k) - H(4) < 1/3 + 1/4; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(4); and for n > 2, a(n) = greatest k such that H(k) - H(a(n-1)) > H(a(n-1)) - H(a(n-2)), where H = harmonic number. A224868

Expansion of ∏_k>=1 ((1 + x^k³)/(1 - x^k³))^k³. A291721

Number of compositions (ordered partitions) of n into distinct nontrivial divisors of n. A331979

Number of nX5 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316308

Number of partitions satisfying cn(1,5) + cn(4,5) < cn(0,5) + cn(2,5) + cn(3,5). A39868

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316311

Divisors of 628. A18558