7692

7692 is a natural number that immediately follows 7691 and precedes 7693. It is an even, composite number. Its prime factorization is 2^2 × 3 × 641, with 641 being a prime number. This expresses 7692 as 12 × 641 and implies there are 12 positive divisors.

The divisors of 7692 are 1, 2, 3, 4, 6, 12, 641, 1282, 1923, 2564, 3846, and 7692. Consequently, 7692 is divisible by 2, 3, 4, 6, 12 and by 641, as well as by their composite products.

In base representations, 7692 equals 0x1E0C in hexadecimal, 1111000001100 in binary, and 17014 in octal. The sum of its digits is 24, so it is divisible by 3 but not by 9.

641, a prime factor of 7692, is notable in number theory as a prime factor of Fermat number F5 = 2^32 + 1, illustrating why 7692 is not a prime. The number’s arithmetic properties, such as its factorization and divisibility, are typical of integers with mixed small and large prime factors.