Properties of the Number 27658

Twenty-Seven Thousand Six Hundred Fifty-Eight

Basics

Value: 27657 → 27658 → 27659

Parity: even

Prime: No

Previous Prime: 27653

Next Prime: 27673

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 13829

Divisors: 1, 2, 13829, 27658

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110110000001010

Octal: 66012

Duodecimal: 1400A

Hexadecimal: 6c0a

Square: 764964964

Square Root: 166.30694513459142

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

a(n) equals the (n*(n+1)/2)-th partial sum of the self-convolution cube of A010054, which has the g.f.: ∑_k>=0 x^k*(k+1/2). A109414

Inverse Moebius transform of A001037 (starting at term 0). A54080

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically. A253698

Continued fraction of a constant t with partial denominators {a(n), n>=0} such that the continued fraction of 3·t yields partial denominators {4·a(n), n>=0}. A320834

a(n) = binomial(n+2, 2) + binomial(n+4, 5). A27658