How many 2's
There is only one positive integer less than 100000 that has exactly 17 number of positive factors (inclusive of 1 and itself). This number can be expressed as .
Find .
The answer is 4.
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1 solution
17 = 16 + 1.
The number must be 2^16.
16 = 2^4 = 2^[2^2].
2^16 = 2^2^2^2, thus n = 4.