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Weird numbers (Posted on 2014-05-02) Difficulty: 2 of 5
A weird number is a positive integer n such that the sum of the proper divisors of n is greater than n, but no subset of its proper divisors add up to n. What is the smallest weird number?

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Solution ANSWER | Comment 1 of 2
The smallest weird number is 70, which has proper divisors 1, 2, 5, 7, 10, 14, and 35.
 They  sum to 74, which is greater that the number itself,   but  no subset of them sums to SEVENTY..

  Posted by Ady TZIDON on 2014-05-02 13:43:59
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