# Problem 548: Gozinta Chains
A gozinta chain for n is a sequence {1,a,b,...,n} where each element
properly divides the next. There are eight gozinta chains for 12: {1,12}
,{1,2,12}, {1,2,4,12}, {1,2,6,12}, {1,3,12}, {1,3,6,12}, {1,4,12} and
{1,6,12}. Let g(n) be the number of gozinta chains for n, so g(12)=8.
g(48)=48 and g(120)=132. Find the sum of the numbers n not exceeding
1016 for which g(n)=n.