Properties of the Number 13686

Thirteen Thousand Six Hundred Eighty-Six

Basics

Value: 13685 → 13686 → 13687

Parity: even

Prime: No

Previous Prime: 13681

Next Prime: 13687

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2281

Divisors: 1, 2, 3, 6, 2281, 4562, 6843, 13686

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101110110

Octal: 32566

Duodecimal: 7B06

Hexadecimal: 3576

Square: 187306596

Square Root: 116.98717878468563

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

Number of multiset partitions of normal multisets of size n such that the blocks have empty intersection. A317752

a(n) = (n + 2)*(2·n² - n + 3)/6. A56520

Numbers k such that k+1, k²+1 and k⁴+1 are primes. A70325

T(n,k)=Number of arrangements of n+2 numbers in 0..k with each number being the sum mod (k+1) of two others. A183884

Centered 23-gonal numbers. A69174

G.f. A(x) satisfies 1/3 = ∑_n=-oo..+oo xⁿ*A(x)ⁿ * (A(x)ⁿ + 2·x)^2·n-1 * (xⁿ + 2·A(x))^2·n-1. A381365

Expansion of 1/((1-x)²*(1-x²)³*(1-x³)²*(1-x⁴)). A210068

Indices of prime hexanacci (or Fibonacci 6-step) numbers A001592 (using offset -4). A105758

a(n) = 9·n² - 3. A157872

Number of n-step four-sided prudent self-avoiding walks ending at the northwest corner of their box. A191758