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28 is the smallest number which satisfies these constraints, the next smallest numbers are 30, 32, and 36. This can be eaily calculated as the divisor function is a series on oeis A000005. 21 hsa 4 factors; 1, 3, 7, 21 as it is semi prime.

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Q: What number is greater than 25 but but has more factors than 21?
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