Properties of the Number 27656

Twenty-Seven Thousand Six Hundred Fifty-Six

Basics

Value: 27655 → 27656 → 27657

Parity: even

Prime: No

Previous Prime: 27653

Next Prime: 27673

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 3457

Divisors: 1, 2, 4, 8, 3457, 6914, 13828, 27656

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000001000

Octal: 66010

Duodecimal: 14008

Hexadecimal: 6c08

Square: 764854336

Square Root: 166.30093204789924

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 (n+1)X(k+1) 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order. A206215

Expansion of g²/(1 - x²*g⁴), where g = 1+x·g³ is the g.f. of A001764. A391129

Number of non-averaging permutations of [n] with first element ceiling(n/2). A296531

Expansion of (1/x) * Series_Reversion( x * (1 - x) / (1 + x² / (1 - x)³) ). A389436

Number of (n+1) X 3 0..2 arrays with every 2 X 3 or 3 X 2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order. A206209

Number of (n+1)X8 0..2 arrays with every 2X3 or 3X2 subblock having exactly two equal edges, and new values 0..2 introduced in row major order. A206214

Number of partitions of n into a squarefree number of parts. A286141

Expansion of 1/(1-x²)² (included only for completeness - the policy is always to omit the zeros from such sequences). A27656