Properties of the Number 6643

Six Thousand Six Hundred Forty-Three

Basics

Value: 6642 → 6643 → 6644

Parity: odd

Prime: No

Previous Prime: 6637

Next Prime: 6653

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 13 × 73

Divisors: 1, 7, 13, 73, 91, 511, 949, 6643

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111110011

Octal: 14763

Duodecimal: 3A17

Hexadecimal: 19f3

Square: 44129449

Square Root: 81.50460109711598

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) = 1ⁿ + 3ⁿ + 9ⁿ. A34513

sigma₄(n): sum of 4th powers of divisors of n. A1159

Sum of divisors of square numbers. A65764

a(n) = 4·n² - 10·n + 7. A54554

Number of ways to split {1, 2, 3, ..., 3n} into n arithmetic progressions each with 3 terms. A104429

Numbers that are palindromic in bases 2 and 3. A60792

Generalized 21-gonal (or icosihenagonal) numbers: m*(19·m - 17)/2 with m = 0, +1, -1, +2, -2, +3, -3, ... A303298

Smallest palindrome greater than n in bases n and n+1. A48268

Sum of 4th powers of odd divisors of n. A51001

Square of P(n,t) read by antidiagonals. P(n,t) = number of ways to split [t·n] into n arithmetic progressions each with t terms. A104443