Factor Divisibility

Level pending

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


The answer is 192.

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

0 solutions

No explanations have been posted yet. Check back later!

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...