Properties of the Number 27116

Twenty-Seven Thousand One Hundred Sixteen

Basics

Value: 27115 → 27116 → 27117

Parity: even

Prime: No

Previous Prime: 27109

Next Prime: 27127

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 6779

Divisors: 1, 2, 4, 6779, 13558, 27116

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111101100

Octal: 64754

Duodecimal: 13838

Hexadecimal: 69ec

Square: 735277456

Square Root: 164.66936569987752

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 semi-sums of strict integer partitions of n. A366741

Number of configurations of the 4 X 3 variant of Sam Loyd's sliding block 15-puzzle that require a minimum of n moves to be reached, starting with the empty square in one of the corners. A90166

a(n) = floor(sqrt(a(n-1)² + a(n-2)²)), a(1)=10, a(2)=30. A104863

a(n) is the smallest k such that A361902(k) = n, or -1 if no such k exists. A361999

Number of (n+3) X 7 0..2 matrices with each 4 X 4 subblock idempotent. A224724

T(n,k)=Number of (n+3)X(k+3) 0..2 matrices with each 4X4 subblock idempotent. A224728

Number of nX4 0..3 arrays x(i,j) with each element horizontally or vertically next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A231059

a(n) = A027113(n, n+3). A27116