18312

18312 is a natural number that comes after 18311 and before 18313. In mathematics, it is an even composite number with prime factorization 2^3 × 3 × 7 × 109, which indicates it has 32 positive divisors. The divisors include 1, 2, 3, 4, 6, 7, 8, 9, and larger combinations up to 18312 itself. The sum of all divisors is 52800, giving a sum of proper divisors of 34488; thus 18312 is an abundant number, since the sum of its proper divisors exceeds the number itself.

The digit sum of 18312 is 15, so the number is divisible by 3 (18312 ÷ 3 = 6104). It is also divisible by 7, 8, and 109, as reflected by its prime factorization. In other base representations, 18312 equals 0x4788 in hexadecimal and 100011110001000 in binary. The digital root is 6.

As a numeric entity, 18312 does not have a widely noted historical or scientific significance beyond its role in illustrating properties of even composite numbers, divisor sums, and base conversions. It serves as an example for topics such as prime factorization, abundant numbers, and the relationship between digit sums and divisibility.