Properties of the Number 27088

Twenty-Seven Thousand Eighty-Eight

Basics

Value: 27087 → 27088 → 27089

Parity: even

Prime: No

Previous Prime: 27077

Next Prime: 27091

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1693

Divisors: 1, 2, 4, 8, 16, 1693, 3386, 6772, 13544, 27088

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111010000

Octal: 64720

Duodecimal: 13814

Hexadecimal: 69d0

Square: 733759744

Square Root: 164.58432489152787

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

Coefficients in the power series A(x) such that: A(x)³ = ∑_n=-oo..+oo x^3·n+2 * (1 - x^n-1)ⁿ⁺¹ * A(x)ⁿ. A357163

Number of 2 X 2 matrices having entries in {0,1,...,n} and determinant in the open interval (-n,n) with no entry repeated. A279273

Number of two-sided n-step prudent walks ending on the top side or the right side of their boxes, avoiding two consecutive west steps and south steps. A190795

E.g.f.: exp(4·x*G(x)³) / G(x)³ where G(x) = 1 + x·G(x)⁴ is the g.f. of A002293. A251574

Seventh convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. A73384

1/6 the number of nX3 0..5 arrays with every element equal to exactly one or two of its horizontal and vertical neighbors. A185536

a(n) = A027082(n, 2n-1). A27088