Properties of the Number 6500

Six Thousand Five Hundred

Basics

Value: 6499 → 6500 → 6501

Parity: even

Prime: No

Previous Prime: 6491

Next Prime: 6521

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 ³ × 13

Divisors: 1, 2, 4, 5, 10, 13, 20, 25, 26, 50

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101100100

Octal: 14544

Duodecimal: 3918

Hexadecimal: 1964

Square: 42250000

Square Root: 80.62257748298549

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) = number of solid (i.e., three-dimensional) partitions of n. A293

Numbers n that are the hypotenuse of exactly 10 distinct integer-sided right triangles, i.e., n² can be written as a sum of two squares in 10 ways. A97225

Irregular triangle read by rows: T(n,k) (0 <= k <= n²) are coefficients of exact wrapping probability for site percolation on an n X n 2D square lattice with periodic boundary conditions. This is for the probability that it wraps around the vertical dimension. A366463

Numbers n such that there is no square n-gonal number greater than 1. A188896

Number of solutions to x⁵ + y⁵ = z⁵ mod n. A288100

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁵. A341244

Numbers whose square can be represented in exactly three ways as the sum of a positive square and a positive fourth power. A345968

a(n) = 8·n² + 8·n + 4. A108099

A185128(n) is the a(n)-th triangular number. A185223

Numbers n such that the sum of digits of 2n equals 4. A279772