122024

122024 is a natural number that comes after 122023 and before 122025. It is an even composite integer with prime factorization 2^3 * 7 * 2179, where 2179 is prime. Because 2 appears with an exponent greater than 1, 122024 is not squarefree. The mu(122024) = 0. The number has 16 positive divisors, derived from (3+1)(1+1)(1+1). The sum of all divisors is sigma(122024) = 261600, so the sum of proper divisors is 139576.

122024 is divisible by 8 and by 7; it is not divisible by 3 or 5. Its last three digits 024 reflect divisibility by 8, and indeed 122024 / 8 = 15253, which equals 7 * 2179.

In number theory, 122024 serves as an example of a non-squarefree composite number with a modest number of divisors. It can occur in arithmetic and algebraic contexts as a product of small primes and a larger prime. Beyond numerical properties, there is no widely recognized historical or mathematical construction specifically associated with this six-digit integer, so its significance is primarily as a part of integer sequences and as a representative case in factorization discussions.