5304

5304 is a natural number in the decimal numeral system. It comes after 5303 and before 5305.

In number theory, 5304 is even and composite. Its prime factorization is 2^3 × 3 × 13 × 17, which shows it has 32 positive divisors.

The sum of all divisors is σ(5304) = (1+2+4+8)(1+3)(1+13)(1+17) = 15120, so the sum of proper divisors is 15120 − 5304 = 9816. Since 9816 > 5304, 5304 is an abundant number with an abundancy ratio of about 1.85.

In base 10, the sum of its digits is 5+3+0+4 = 12, and 5304 is divisible by 12, making it a Harshad (Niven) number.

5304 is divisible by 4 and 8 (5304 ÷ 8 = 663), reflecting its factorization by powers of two.

There are no widely recognized constants or named theorems that hinge on 5304 alone. As an integer, it participates in standard arithmetic properties and sequence contexts, but it is not typically singled out beyond its established factorization and divisibility characteristics.