Properties of the Number 13806

Thirteen Thousand Eight Hundred Six

Basics

Value: 13805 → 13806 → 13807

Parity: even

Prime: No

Previous Prime: 13799

Next Prime: 13807

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 13 × 59

Divisors: 1, 2, 3, 6, 9, 13, 18, 26, 39, 59

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111101110

Octal: 32756

Duodecimal: 7BA6

Hexadecimal: 35ee

Square: 190605636

Square Root: 117.49893616539683

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

E.g.f.: 1/(1-x·exp(x)). A6153

G.f. A(x) satisfies A(x) = (1 + x·A(x) + x²*A(x)²)². A143927

Hexagonal matchstick numbers: a(n) = 3·n*(3·n+1). A45945

a(n) = 25·n² + 25·n + 6. A177059

a(n) = 3·a(n-1) - 2·a(n-2) with a(0)=36 and a(1)=90. A182467

Number of 4k+3 primes whose Legendre-vector is not Dyck-path (A095103) in range ]2ⁿ,2ⁿ⁺¹]. A95093

Square array T(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - x^k * exp(x) / k!). A351703

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_j=0..n k^n-j * (n-j)^j/j!. A351761

Numbers k such that the odd part of σ(σ(k)) is equal to the odd part of σ(k). A353365

a(n) is the number of distinct n-th powers of functions {1, 2, 3, 4, 5, 6} -> {1, 2, 3, 4, 5, 6}. A103950