Properties of the Number 65125

Sixty-Five Thousand One Hundred Twenty-Five

Basics

Value: 65124 → 65125 → 65126

Parity: odd

Prime: No

Previous Prime: 65123

Next Prime: 65129

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ³ × 521

Divisors: 1, 5, 25, 125, 521, 2605, 13025, 65125

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111001100101

Octal: 177145

Duodecimal: 31831

Hexadecimal: fe65

Square: 4241265625

Square Root: 255.1960031034969

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 positive special sums of integer partitions of n. A301854

a(0) = a(1) = 1; a(n) = 5·a(n-1) + 5·a(n-2). A188168

G.f.: exp( ∑_n>=1 5·Fibonacci(n-2)*Fibonacci(n+2) * xⁿ/n ). A237655

Numbers k such that k and k² use only the digits 1, 2, 4, 5 and 6. A136988

Number of n X 3 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 n X 3 array. A219699

Expansion of (1 - 3·x) / (1 - 5·x + 3·x²). A52961

Numbers k such that the sums of the odd and even aliquot parts of k both divide k. A65125