Articulated divisors

A positive integer is said to be strange if it has an odd number of distinct positive divisors. Find the sum of all positive strange numbers less than or equal to 2016.

Details and Assumptions:

  • As an explicit example, 4 is strange because it has 3 distinct positive divisors, namely 1, 2 and 4, while 10 is not strange because it has 4 distinct positive divisors, namely 1, 2, 5 and 10.
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