Properties of the Number 27171

Twenty-Seven Thousand One Hundred Seventy-One

Basics

Value: 27170 → 27171 → 27172

Parity: odd

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 3019

Divisors: 1, 3, 9, 3019, 9057, 27171

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000100011

Octal: 65043

Duodecimal: 13883

Hexadecimal: 6a23

Square: 738263241

Square Root: 164.83628241379384

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) black-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231137

Number of (n+1)X(4+1) black-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231135

Number of partitions p of n such that max(p) - min(p) is a part of p. A238493

Number of (n+1)X(n+1) black-square subarrays of 0..2 arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with values 0..2 introduced in row major order. A231133

Number of nX5 binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it. A183317

a(n) = A027170(2n, n). A27171