Summing divisors
The following is the list of all the positive divisors of 66 that are smaller than 66:
The sum of these numbers is larger than 66 itself.
Is it also true that the sum of all the positive divisors of 666666 that are smaller than 666666 is larger than 666666?
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1 solution
The 3 largest divisors of 666666 less than 666666 are 111111, 222222 and 333333. These alone sum to 666666, so when you add in the other divisors, the total becomes more than 666666.