Properties of the Number 12559

Twelve Thousand Five Hundred Fifty-Nine

Basics

Value: 12558 → 12559 → 12560

Parity: odd

Prime: No

Previous Prime: 12553

Next Prime: 12569

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 19 × 661

Divisors: 1, 19, 661, 12559

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100001111

Octal: 30417

Duodecimal: 7327

Hexadecimal: 310f

Square: 157728481

Square Root: 112.06694427885503

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

Square array, read by antidiagonals, where row n equals the crystal ball sequence for the A_n lattice. A108625

a(n) = n*(11·n² - 5)/6. A4467

a(n) = A108625(3·n, 2·n). A363869

a(n) = 8·n² - 6·n - 1. A194431

Number of partitions p of n such that median(p) < multiplicity(max(p)). A240207

Crystal ball sequence for A₆ lattice. A8388

a(n) = 1+5·n+7·n². A168235

G.f. satisfies A(x) = ( 1 + x / (1 - x·A(x)³)² )². A371615

Crandall numbers: (2/π)⁴ Integral_t>=0 ([π I₀(t)]² - [K₀(t)]²) I₀(t) [K₀(t)]⁵ (2t)^2n-1 dt. A262961

Denominators of continued fraction convergents to sqrt(762). A42469