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21 August, 13:47

What is the smallest positive integer with exactly 14 positive divisors?

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  1. 21 August, 14:19
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    A number with exactly 14 divisors can be of one of the two following forms ...

    p^6 * q

    OR

    p^13

    where p and q are prime.

    From here it should be obvious that the smallest such number is 2^6 * 3 = 192
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