2013 itself has 8 factors (including 1 and itself).
The vast majority of multiples of 2013 have an even number of factors.
The smallest multiplier that has an odd number of factors is actually 2013. 2013*2013=4052169 has an odd number of factors, 27 of them.
256 is the smallest multiplier such that multiplier*2013 has MORE THAN 2013 factors (it has 2520 factors).
Testing multipliers up to 100000, I could not find any with exactly 2013 factors.
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Posted by Larry
on 2024-10-12 10:39:46 |
thoughts ...
