Properties of the Number 27106

Twenty-Seven Thousand One Hundred Six

Basics

Value: 27105 → 27106 → 27107

Parity: even

Prime: No

Previous Prime: 27103

Next Prime: 27107

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 × 13553

Divisors: 1, 2, 13553, 27106

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110100111100010

Octal: 64742

Duodecimal: 1382A

Hexadecimal: 69e2

Square: 734735236

Square Root: 164.63899902513984

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

T(n,k)=Number of black-square subarrays of (n+2)X(k+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230935

Expansion of ∏_k>=1 ((1 + k·x^k) / (1 - 2·x^k)). A269144

Expansion of g.f. A(x) satisfying A(x)² = A(x·A(x)) / (1-x) with A(0) = 1. A88792

Numbers k such that the largest prime divisor of k⁴+1 is less than k. A309562

Number of black-square subarrays of (n+2) X (3+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230930

Number of black-square subarrays of (n+2)X(7+2) 0..3 arrays x(i,j) with each element diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4, no adjacent elements equal, and upper left element zero. A230934

Number of perfect matchings in graph P₂ X P₄ X P_n. A28448

a(n) = ∑_k=0..2n (k+1) * A027082(n, k). A27106