Properties of the Number 27164

Twenty-Seven Thousand One Hundred Sixty-Four

Basics

Value: 27163 → 27164 → 27165

Parity: even

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 6791

Divisors: 1, 2, 4, 6791, 13582, 27164

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000011100

Octal: 65034

Duodecimal: 13878

Hexadecimal: 6a1c

Square: 737882896

Square Root: 164.81504785668085

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 partitions of n into sums of products. A66815

Number of integer partitions of n whose product is a multiple of n + 1. A379320

Triangle read by rows: T(n,k) is the number of permutations of [n] having k cycles with 2 alternating runs (it is assumed that the smallest element of the cycle is in the first position), 0<=k<=floor(n/3). A187244

Numerators of continued fraction convergents to sqrt(467). A41890

Number of permutations of [n] having no cycle with 2 alternating runs (it is assumed that the smallest element of the cycle is in the first position). A187245

Integer part of log(nⁿ)^{1 + log(1 + log(1 + n})). A62451

Nearest integer to log(nⁿ)^{1 + log(1 + log(1 + n})). A62452

Number of length n arrays of permutations of 0..n-1 with each element moved by -4 to 4 places and every three consecutive elements having its maximum within 4 of its minimum. A263699

Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303192

a(n) = T(n,0) + T(n,1) + ... + T(n,n), T given by A027157. A27164