A number theory problem by Esp Ter
Number Theory
Level
3
Find the sum of all integer divisors of 10000.
The answer is 0.
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1 solution
Since it is mentioned 'integral divisors', therefore every positive divisor of the number will have its negative counterpart. Therefore, the sum of all positive divisors and the sum of all negative divisors will have the same magnitude but will be of opposite parity. Thus this gives us our answer as 0 .