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Summing the factors (Posted on 2018-03-08)

Let N=2⁴* 5⁷.

What is the sum of all N's positive factors?

Generalize.

See The Solution Submitted by Ady TZIDON

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Puzzle Answer

Comment 3 of 3 |

The required sum of all the positive factors of N is 3,027,036.

In general, if N = P^S * Q^R:

Then, the required sum of N's positive factors is given by:

(P^(S+1) - 1)*(Q^(R+1) - 1)

S(n) = -------------------------------------------

(P-1)(Q-1)

Posted by K Sengupta on 2022-07-11 23:31:05

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