7930

7930 is a natural number that comes after 7929 and before 7931. In mathematics, it is an even composite number with prime factorization 2 × 5 × 13 × 61.

As a product of four distinct primes, 7930 has 16 positive divisors. These divisors are 1, 2, 5, 10, 13, 26, 61, 130, 65, 122, 305, 610, 793, 1586, 3965, and 7930. The sum of all divisors (including 1 and itself) is 15,624. The Euler totient function value is φ(7930) = 2,880, reflecting the count of integers up to 7930 that are relatively prime to it.

From digit properties, the decimal representation 7930 has digits summing to 19, giving a digital root of 1. The number is divisible by 2 and by 5, and it is divisible by 13 and by 61 as part of its prime factorization. It is not a prime, not a perfect square or cube, and it is not divisible by 3, 7, or 11.

In abstract number theory, 7930 serves as an example of a highly composite-like structure in that it factors into four distinct primes, illustrating how divisor count grows with multiple small prime factors. As a plain integer, 7930 has no widely recognized special status beyond these arithmetic properties. It may appear in general numerical examples, cataloging systems, or model numbers where a four-prime product is suitable.