The greatest proper divisor () of an integer x is the largest integer y, such that and . Furthermore, we define: .
Below is the set of 's of numbers from 1 to :
.
Given an integer n, create a function that outputs the sum of 's of all integers from 1 to n, inclusive. For , your function should return, .
TIP: Good algorithms for finding GPD's for numbers 1 to , can be found in Rosetta Code.

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