7434

7434 is a positive integer that is even and composite. Its prime factorization is 2 × 3^2 × 7 × 59, which means the number has 24 positive divisors in total. The largest proper divisor is 3717 (which is n divided by the smallest prime factor, 2).

In terms of divisor sums, 7434 is an abundant number. The sum of its positive divisors is 18720, so the sum of proper divisors is 11286, exceeding the number itself. This yields an abundance ratio of about 1.52. The factorization also shows the number is divisible by several smaller integers, including 2, 3, 7, 9, 18, and 59, among others. Notably, 7434 can be expressed as 18 × 413 and also as 59 × 126.

7434 is also a Harshad (Niven) number in base 10, since the sum of its digits is 7 + 4 + 3 + 4 = 18, and 18 divides 7434 exactly (7434 ÷ 18 = 413). This places it among numbers that are divisible by the sum of their digits.

In summary, 7434 is an even, composite, and abundant integer with a rich factorization structure. It serves as an illustrative example in discussions of divisor functions, Harshad numbers, and related number-theory concepts.