MathDB

25

Part of 2006 Stanford Mathematics Tournament

Problems(1)

Finding S(2006) with Simplified Fraction

Source:

3/15/2010
For positive integers n n let D(n) D(n) denote the set of positive integers that divide n n and let S(n)\equal{}\Sigma_{k \in D(n)} \frac{1}{k}. What is S(2006) S(2006)? Answer with a fraction reduced to lowest terms.