Properties of the Number 27157

Twenty-Seven Thousand One Hundred Fifty-Seven

Basics

Value: 27156 → 27157 → 27158

Parity: odd

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 13 × 2089

Divisors: 1, 13, 2089, 27157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 110101000010101

Octal: 65025

Duodecimal: 13871

Hexadecimal: 6a15

Square: 737502649

Square Root: 164.7938105633825

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 rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero. A205235

a(n) = 1 + n + n*[n/2] + n*[n/2]*[n/3] + n*[n/2]*[n/3]*[n/4] +... where [x]=floor(x). A75885

Strong pseudoprimes to base 54. A20280

Number of (n+1)X3 0..2 arrays with rows and columns of permanents of all 2X2 subblocks lexicographically nondecreasing, and all 2X2 permanents nonzero. A205229

Number of (n+1) X 4 0..2 arrays with rows and columns of permanents of all 2 X 2 subblocks lexicographically nondecreasing, and all 2 X 2 permanents nonzero. A205230

Triangular array T given T(n,k)=(1/2)*t(n+1,k+1), 0<=k<=n, n >= 0, t given by A027144. A27157

Number of nX3 0..2 arrays with rows and columns unimodal. A223826