Sum of digits of 2^n equals n

Max A. maxale at gmail.com
Mon Jul 24 11:32:23 CEST 2006


On 7/23/06, Tanya Khovanova <tanyakh at tanyakhovanova.com> wrote:
> I found two numbers n such that sum of digits of 2^n is equal to n:
> 5 and 70.
>
> I can't find the corresponding sequence.
>
> Are there any other numbers like that?

Such numbers be equal to 5 or 16 modulo 18.
I've performed a search for n up to 18000. No new terms found.

Max






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