Properties of the Number 27082

Twenty-Seven Thousand Eighty-Two

Basics

Value: 27081 → 27082 → 27083

Parity: even

Prime: No

Previous Prime: 27077

Next Prime: 27091

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 11 × 1231

Divisors: 1, 2, 11, 22, 1231, 2462, 13541, 27082

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110100111001010

Octal: 64712

Duodecimal: 1380A

Hexadecimal: 69ca

Square: 733434724

Square Root: 164.56609614376833

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) = coefficient of xⁿ*y^k in A(x,y) such that: x = ∑_n=-oo..+oo (-1)ⁿ * xⁿ * (y + xⁿ)ⁿ * A(x,y)ⁿ. A359720

Numbers k such that there is a number m < k satisfying A000203(k) = A000203(m) = m + k - gcd(m,k). A124141

Expansion of ∏_k>=1 1/(1 + x^k)^k+1. A305628

Number of weakly unimodal compositions of n in which the greatest part occurs exactly six times. A320317

a(n) = A359720(n+3,2), for n >= 0. A359726

Sum of squares of numbers in row n of array T given by A026725. A27213

Decimal part of a(n)^1/3 starts with reversal of its integer part: first term of runs. A34309

Number of 6-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187380

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 419", based on the 5-celled von Neumann neighborhood. A272047

Array T(m,n) read by antidiagonals: T(m,n) (m >= 1, n >= 1) = number of ways to arrange the numbers 1,2,...,m·n in an m X n matrix so that each row and each column is increasing. A60854