8401

8401 is a natural number that comes after 8400 and before 8402. In arithmetic, it is an odd, squarefree integer with prime factorization 31 × 271. This makes 8401 a semiprime, a product of two primes.

Because both prime factors are congruent to 3 modulo 4, 8401 is not representable as a sum of two squares, according to the sum of two squares theorem. It is congruent to 1 modulo 4 (since 3 × 3 ≡ 9 ≡ 1).

8401 is not divisible by small primes such as 2, 3, or 5; its nontrivial factors are 31 and 271, which are both primes.

As a numeric symbol, 8401 also serves as an identifier in various catalogs, models, or serial numbers, independent of its mathematical properties. Without context, its usage across mathematics, science, or industry remains a matter of application rather than intrinsic meaning.