Properties of the Number 13166

Thirteen Thousand One Hundred Sixty-Six

Basics

Value: 13165 → 13166 → 13167

Parity: even

Prime: No

Previous Prime: 13163

Next Prime: 13171

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 29 × 227

Divisors: 1, 2, 29, 58, 227, 454, 6583, 13166

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101101110

Octal: 31556

Duodecimal: 7752

Hexadecimal: 336e

Square: 173343556

Square Root: 114.74319151914854

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

Bernoulli number B_n has denominator 354. A255684

Number of subsets of {1..n} whose cardinality is not equal to the sum of any subset. A367217

Number of length n inversion sequences avoiding the patterns 120, 201, and 210. A279572

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,1 2,2 1,0 -1,2 -2,-1 or -1,-1. A264422

Sum of all the parts in the partitions of n into 6 parts. A308867

Addends k > 0 such that x² + k produces a new minimum of its Hardy-Littlewood Constant. A331949

Number of partitions of n into 5 or more distinct parts. A347572

Values of m in the discriminant D = -4·m leading to a new maximum of the L-function of the Dirichlet series L(1) = ∑_k=1..oo Kronecker(D,k)/k. A3420

Number of binary strings of length n avoiding the pattern·x x^R (where x^R means reverse of x). A241903

Numbers k such that φ(k) < φ(k+1) < φ(k+2) < φ(k+3) where φ is the Euler totient function (A000010). A327880