The Sigma Function, often denoted as σ(n), is a mathematical function that calculates the sum of the positive divisors of a given integer n. For example, if n is 6, the positive divisors are 1, 2, 3, and 6, so σ(6) equals 1 + 2 + 3 + 6 = 12. This function is useful in number theory and has applications in various mathematical problems. The Sigma Function can also be expressed in terms of its prime factorization. If n = p₁^k₁ × p₂^k₂ × ... × pₖ^kₖ, where p₁, p₂, ..., pₖ are prime factors, then σ(n) can be calculated using the formula: σ(n) = (1 + p₁ + p₁² + ... + p₁^k₁)(1 + p₂ + p₂² +