Properties of the Number 52566

Fifty-Two Thousand Five Hundred Sixty-Six

Basics

Value: 52565 → 52566 → 52567

Parity: even

Prime: No

Previous Prime: 52561

Next Prime: 52567

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 8761

Divisors: 1, 2, 3, 6, 8761, 17522, 26283, 52566

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1100110101010110

Octal: 146526

Duodecimal: 26506

Hexadecimal: cd56

Square: 2763184356

Square Root: 229.27276331915223

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) = 121·n² - 38·n + 3. A157443

a(n) = ∑_k=1..n k² * τ(k)², where τ is A000005. A320897

Number of ways to place zero or more nonadjacent 0,0 1,0 2,1 3,2 4,2 5,3 6,4 7,4 polyhexes in any orientation on a planar nXnXn triangular grid. A155427

Expansion of g.f. A(x) satisfying A(x)³ = 1 + x*(A(x) + A(x)² + A(x)⁹). A363560

Expansion of e.g.f. (2 + x)/(1 - x²). A52566

G.f. A(x) satisfies: a(n) = [x^n-1] A( x/(1-x) )ⁿ / (1-x) for n>0 with a(0)=1 where A(x) = ∑_n>=0 a(n)*xⁿ. A203133