Properties of the Number 27768

Twenty-Seven Thousand Seven Hundred Sixty-Eight

Basics

Value: 27767 → 27768 → 27769

Parity: even

Prime: No

Previous Prime: 27767

Next Prime: 27773

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 13 × 89

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 24, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110110001111000

Octal: 66170

Duodecimal: 140A0

Hexadecimal: 6c78

Square: 771061824

Square Root: 166.6373307515456

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 side-n hexagonal 0..k arrays with values nondecreasing E, SW and SE. A216937

Array read by antidiagonals: A(n,k) is the number of sensed planar maps with n vertices and k faces, n >= 1, k >= 1. A379430

Triangle read by rows: Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 2k+1. A227716

Number of (2n+1)-step self-avoiding walks on diamond lattice ending at point with x = 3. A1398

Row sums in A083175. A83175

Triangle read by rows: T(n,k) (0 <= k <= n) = ∑_i=0..[k/2] (-1)ⁱ*binomial(k,2·i)*(2·i-1)!!*n^k-2·i. A244490

Number of ways to place 2 nonattacking kings on an n X n X n X n raumschach board (four-dimensional chessboard). A194605

Number of acyclic graphs on {1,2,...,n} such that the node with label 1 is in the same connected component (tree) as the node with label 2. A220690

Numbers n such that the Diophantine equation x⁴+y⁵=n⁴ has solutions. A70756

Indices of primes in sequence defined by A(0) = 41, A(n) = 10·A(n-1) + 81 for n > 0. A101738