7967

7967 is a natural number that follows 7966 and precedes 7968. It is an odd composite number.

Its prime factorization is 7967 = 31 × 257, so it is a semiprime. As such, its divisors are 1, 31, 257, and 7967.

The prime 257 is a Fermat prime (2^8 + 1), while 31 is a regular prime. The sum of its digits is 29, indicating it is not divisible by 3; it is not divisible by 2 or 5.

In number theory, semiprimes like 7967 are used as simple examples for primality testing and factorization concepts. Because 7967 has exactly four divisors, it provides a straightforward illustration of divisor counting. The number is also of interest in recreational mathematics for its factorization properties.

See also: semiprime, Fermat prime, prime factorization.