7697

7697 is a positive integer. It factors as 43 × 179, making it a semiprime and not a prime. Both prime factors are congruent to 3 modulo 4, so 7697 is a Blum integer, a category of semiprimes used in certain areas of number theory and cryptography. The positive divisors of 7697 are 1, 43, 179, and 7697, and the number is square-free since its prime factors are distinct. Euler’s totient function gives φ(7697) = (43 − 1)(179 − 1) = 7476.

In base-10 notation, the sum of the digits is 29, yielding a digital root of 2; equivalently, 7697 ≡ 2 (mod 9). The number is odd and not a prime, with a straightforward factorization that makes it useful as an example of semiprimes in mathematical contexts.

There are no widely named constants, sequences, or widely recognized mathematical objects uniquely associated with the number 7697. However, its status as a product of two primes, both congruent to 3 mod 4, places it within the class of Blum integers, which are occasionally discussed in elementary and applied number theory and related cryptographic topics.