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An interesting equation (Posted on 2007-08-05) Difficulty: 3 of 5
If d(x) is the number of positive divisors of x, and n(x) is the number of distinct prime factors of x, show that d(A)=Σ(2^n(A/i²)) for all positive i such that A/i² is an integer.

See The Solution Submitted by Praneeth    
Rating: 3.6667 (3 votes)

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Hints/Tips Hint | Comment 1 of 2
If L=LCM(x,y) and G=GCD(x,y), then L*G=x*y=A.
Consider x*y=A, No. of integral as well positive solutions
will be ?

Edited on August 6, 2007, 8:33 am
  Posted by Praneeth on 2007-08-06 01:23:53

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