MinDiv

MinDiv refers to the smallest divisor greater than 1 of a given positive integer. In other words, it is the smallest prime factor of the number. For any composite number, identifying the MinDiv can be a foundational step in factoring it or understanding its divisibility properties. For prime numbers, the MinDiv is the number itself. The concept is particularly useful in number theory and computational algorithms where factorization or prime number identification is required. The MinDiv of 1 is typically undefined or considered to be 1, depending on the specific context.