MathDB

Finding S(2006) with Simplified Fraction

Source:

March 15, 2010

Problem Statement

For positive integers

n

let

D(n)

denote the set of positive integers that divide

n

and let S(n)\equal{}\Sigma_{k \in D(n)} \frac{1}{k}. What is

S(2006)

? Answer with a fraction reduced to lowest terms.