6345

6345 is a natural number that follows 6344 and precedes 6346. It is used in mathematics as a concrete example of a composite integer and appears in various counting and numeral contexts.

In mathematics, 6345 has the prime factorization 3^3 × 5 × 47. It is divisible by 3, 5, 9, 15, 27, 45, and 47, among other products of these primes. In total, it has 16 positive divisors: 1, 3, 5, 9, 15, 27, 45, 47, 135, 141, 235, 423, 705, 1269, 2115, and 6345. The number is odd and serves as an example of a number with multiple distinct prime factors. In modular arithmetic, 6345 is congruent to 0 modulo 3, 9, and 27, reflecting its factorization.

In other representations, 6345 is written as 0x18C9 in hexadecimal and as 1100011001001 in binary, illustrating its encoding in different base systems.

Beyond pure mathematics, 6345 may appear as an identifier in catalogs, product numbers, or alphanumeric designations. Such uses are context-dependent and do not imply any mathematical property beyond the numeric value itself.

Overall, 6345 is a relatively small composite number with a simple prime factorization and several divisors, useful for illustrating factorization, divisibility, and base conversions in number theory.