Properties of the Number 27162

Twenty-Seven Thousand One Hundred Sixty-Two

Basics

Value: 27161 → 27162 → 27163

Parity: even

Prime: No

Previous Prime: 27143

Next Prime: 27179

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 503

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 503, 1006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000011010

Octal: 65032

Duodecimal: 13876

Hexadecimal: 6a1a

Square: 737774244

Square Root: 164.80898033784445

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

G.f.: A(x) satisfies: coefficient of xⁿ in A(x)ⁿ⁺¹/(n+1) = 2^n*(n-1/2). A136653

Numbers k such that σ(k) = σ(k+8). A15876

Number of integer partitions of n where 2*(number of distinct parts) >= (number of parts). A361394

a(n) is the concatenation of n and 6n. A9440

Convergent of an infinite product, a·b*c,...; a = [1,1,1,...], b = [1,0,2,0,2,0,2,...], c = [1,0,0,3,0,0,3,0,0,3,...],... A162506

Number of ways to tile a 5 X 2n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point. A68924

Number of partitions of the n-th n-gonal pyramidal number into distinct n-gonal pyramidal numbers. A337798

Number of special sums of integer partitions of n. A304796

Diagonal sums of the number triangle associated to A086617. A108296

Expansion of (G(-x) / χ(-x))² in powers of·where χ() is a Ramanujan θ function and G() is a Rogers-Ramanujan function. A261866