First such number

Number Theory Level 3

What is the first integer greater than 2 such that its digits sum gives the total number of factors it has (excluding 1 and itself)?


The answer is 24.

Avinash Kumar by Avinash Kumar , 28, India

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1 solution

Avinash Kumar
Sep 30, 2015

It's quite easy a bit of hard work that's all keep factorizing from 11 onward's u will end up at 24..

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Curiously, the next such integer is 42. 42.

The next are 80 , 105 , 114 80, 105, 114 and 192 192 . I don't see any pattern here ....

Brian Charlesworth - 5 years, 8 months ago

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Seems unlikely that there will be a pattern to it.

Calvin Lin Staff - 5 years, 8 months ago

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