6645

6645 is a natural number that follows 6644 and precedes 6646. It is an odd composite number and part of the sequence of integers used in arithmetic and number theory.

Prime factorization and divisors: 6645 = 3 × 5 × 443, with 443 being prime. This makes 6645 squarefree, and it has eight positive divisors: 1, 3, 5, 15, 443, 1329, 2215, and 6645. The number is divisible by 3 and by 5, since its digit sum is 21 (divisible by 3) and it ends in 5 (divisible by 5).

Numeral representations: In base 10, 6645 is the decimal representation. In other bases, it appears as follows: binary 1100111110101, hexadecimal 0x19F5, octal 14765, base-9 10103, and base-12 3A19. These representations illustrate common base-conversion patterns for this value.

Mathematical notes: The square root of 6645 is between 81 and 82 (approximately 81.6), since 81^2 = 6561 and 82^2 = 6724. Because its prime factorization consists of distinct primes, 6645 is squarefree. It is congruent to 0 modulo 3, modulo 5, and modulo 15, reflecting its divisibility properties.

Summary: 6645 is a small composite number notable for being the product of three distinct primes, with a set of divisors and several alternative-base representations that illustrate standard numeral conversion concepts in number theory.