6583

6583 is an integer in the natural numbers, found between 6582 and 6584. In mathematical contexts it is often used as a simple composite example for factorization and number-theory discussions.

Its prime factorization is 6583 = 29 × 227, with 29 and 227 both prime. As a product of two distinct primes, 6583 is a semiprime and is square-free. Its divisors are 1, 29, 227, and 6583. The sum of its digits is 22, giving a digital root of 4. It is not divisible by 2, 3, 5, 7, 11, 13, or 17.

From a number-theoretic perspective, because 227 ≡ 3 (mod 4) and appears with an odd exponent, 6583 cannot be expressed as a sum of two squares. The Euler totient function evaluates to φ(6583) = (29 − 1)(227 − 1) = 28 × 226 = 6328. These properties—being a semiprime, square-free, and having a specific totient—make 6583 a common introductory example in discussions of divisibility, factorization, and related arithmetic concepts.

In other contexts, 6583 is used as a numeric label in catalogs, model numbers, or identifiers, but there is no widely recognized non-mathematical meaning or notable public entity uniquely associated with the number.