Max. number with least sum of divisors.
Let a number be denoted by 'X' and sum of all its divisors be 'N' where ( .Find the maximum value of X less than 10,000 such that it has minimum value of N .
The answer is 9999.
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1 solution
A number has both positive and negative divisors.There is no mentioning of word 'positive' and also it is given that ( X , N ) ∈ Z . Hence,sum of all divisors is always 0 which gives the max. value of X as 9999 .