Properties of the Number 6501

Six Thousand Five Hundred One

Basics

Value: 6500 → 6501 → 6502

Parity: odd

Prime: No

Previous Prime: 6491

Next Prime: 6521

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 197

Divisors: 1, 3, 11, 33, 197, 591, 2167, 6501

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101100101

Octal: 14545

Duodecimal: 3919

Hexadecimal: 1965

Square: 42263001

Square Root: 80.62877898120497

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

Pentagonal numbers with even index. A49452

Powers of cube root of 2 rounded down. A17979

Powers of cube root of 4 rounded down. A17985

Centered 20-gonal (or icosagonal) numbers. A69133

Number of integer partitions of n where the parts do not have the same mean as the distinct parts. A360242

a(n) = n*(n + 1)*(3·n² + 3·n - 2)/8. A236770

a(n) is the smallest composite number whose prime divisors (with multiplicity) sum to prime(n); n >= 3. A295185

T(n,k)=Number of nXk 0..1 arrays with every element equal to 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301823

A sequence related to the recurrence relations of the right hand columns of the EG1 triangle A162005. A162011

Pentagonal numbers (A000326) which are the sum of 2 other positive pentagonal numbers. A136117