2×3×97

2×3×97 is the product of three integers—specifically the primes 2, 3, and 97. When calculated, it equals 582.

The prime factorization of 582 is 2 × 3 × 97, with all factors distinct. Because the prime powers are all one, 582 is squarefree. This implies it has eight positive divisors: 1, 2, 3, 6, 97, 194, 291, and 582. Since 2 and 3 are factors, the number is divisible by 6, and 582 = 6 × 97.

In a broader number-theory context, 582 is an example of a composite, squarefree integer. It is also useful in illustrating divisor-counting concepts: the number of divisors equals 2^3 = 8, and the sum of all divisors is (2+1)×(3+1)×(97+1) = 3×4×98 = 1176.

A note about the prime 97: it is the 25th prime number, which places it among the larger primes in the first hundred. The factors 2, 3, and 97 are pairwise coprime, reflecting a simple multiplicative structure in the factorization of 582.

Overall, 2×3×97 serves as a straightforward example of a small, squarefree, three-prime product with a complete and easily enumerated set of divisors, useful for illustrating basic factorization and divisor-related properties.