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The aliquot sum of a positive integer is the sum of its proper divisors, which are the divisors of the number excluding the number itself. For example, for the number 12, the proper divisors are 1, 2, 3, 4, and 6. Therefore, the aliquot sum of 12 is: 1 + 2 + 3 + 4 + 6 = 16.

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  1. Arithmetic dynamics
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