I am a number that is the product of my factors' sum and the sum of my inverse. What number am I?
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The Answer
6
Here's why: the factors of 6 are 1, 2, 3, and 6. The sum of these factors is 12, and the sum of their inverses (1, 1/2, 1/3, 1/6) is 2. The product of 12 and 2 is 24, which, when divided by 4, gives the original number 6.
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