8730

8730 is a natural number that lies between 8729 and 8731. In mathematics, it is classified as an even composite number and an abundant number, since the sum of its proper divisors (14,202) exceeds the number itself.

Its prime factorization is 8730 = 2 × 3^2 × 5 × 97, which shows it has 24 positive divisors. The total of these divisors is 22,932, while the sum of proper divisors is 14,202.

8730 is a multiple of several small integers: it is divisible by 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 97, among others. In particular, it can be written as 8730 = 90 × 97, since 90 = 2 × 3^2 × 5 and 97 is prime.

Because of its factorization, 8730 is not squarefree (it contains a squared prime factor 3^2). It has a relatively simple divisor structure due to the small exponents in the factorization.

In number theory, 8730 does not have widely noted special properties beyond being a representative example of an even, abundant, composite number with a factorization involving a large prime (97). It may appear in arithmetic examples or problem settings illustrating divisor sums and factorization.