Properties of the Number 27137

Twenty-Seven Thousand One Hundred Thirty-Seven

Basics

Value: 27136 → 27137 → 27138

Parity: odd

Prime: No

Previous Prime: 27127

Next Prime: 27143

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 2467

Divisors: 1, 11, 2467, 27137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110101000000001

Octal: 65001

Duodecimal: 13855

Hexadecimal: 6a01

Square: 736416769

Square Root: 164.7331174961489

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

Expansion of ∑_i>=1 μ(i)²*xⁱ/(1 - xⁱ) / ∏_j>=1 (1 - μ(j)²*x^j), where μ() is the Moebius function (A008683). A281572

a(n) = T(3n,n), where T = Delannoy triangle (A008288). A26001

a(n) = ∑_k=0..2n (k+1) * A027113(n, k). A27137