6328

6328 is a natural number that follows 6327 and precedes 6329. It is an even, composite integer with several basic mathematical properties that illustrate common number-theory concepts.

Its prime factorization is 2^3 × 7 × 113, which yields 16 positive divisors. The divisors are 1, 2, 4, 8, 7, 14, 28, 56, 113, 226, 452, 904, 791, 1582, 3164, and 6328. This factorization confirms that 6328 is not prime and has multiple proper divisors.

In other numeral systems, 6328 has the representations 1100010111000 in binary, 0x18B8 in hexadecimal, and 14270 in octal. These representations reflect its composition from powers of two and the odd prime factors.

Sum of divisors considerations show that 6328 is an abundant number. The sum of all positive divisors is 13680, so the sum of proper divisors is 13680 − 6328 = 7352. Since 7352 > 6328, the number is classified as abundant, with an abundance of 1024 (7352 − 6328). The abundance being a power of two is a coincidental property arising from its prime factorization.

Overall, 6328 serves as a concise example of an even, composite, and abundant integer, with clear factorization and straightforward base representations.