# Factor Divisibility

Level pending

You are given that the equation $$81x+y=5130$$ where x,y are nonnegative integers has 64 solutions, from $$(x_{1},y_{1})$$ to $$(x_{64},y_{64})$$. Let $$f(n)$$ denote the number of factors of n which are divisible by 3 and $$g(n)$$ denote the number of factors of n which are not divisible by 3. What is $$\displaystyle\sum_{i=1}^{64} \dfrac{f(y_{i})}{g(y_{i})}$$?

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