Properties of the Number 65102

Sixty-Five Thousand One Hundred Two

Basics

Value: 65101 → 65102 → 65103

Parity: even

Prime: No

Previous Prime: 65101

Next Prime: 65111

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 43 × 757

Divisors: 1, 2, 43, 86, 757, 1514, 32551, 65102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001001110

Octal: 177116

Duodecimal: 31812

Hexadecimal: fe4e

Square: 4238270404

Square Root: 255.15093572236808

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

Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5) < cn(0,5). A36895

Number of symmetry sites in all planted 1,3-trees with 2n nodes. A7135

Base 10 numbers d₁ d₂ ... d_k such that the digits d_i are distinct, and ∑_i=1..k-1 d_iⁱ = d_k^k. A177772

G.f.: (1 + x + 3·x² + 11·x³ + 6·x⁴ + 14·x⁵ + 12·x⁶ + 4·x⁷ + 14·x⁸ + 4·x⁹ + 12·x¹⁰ + 14·x¹¹ + 5·x^ 12 + 11·x¹³ + 9·x¹⁴ - 11·x¹⁵)/((1 - x)⁴*(1 - x²)¹²). A268244

a(0) = c, a(1) = p·c³; a(n+2) = p·c²*a(n+1) - a(n), for p = 2, c = 3. A65102