Is it possible to know the sum of the digits

Michael Rivers

Michael Rivers

Answered question

2022-04-24

Is it possible to know the sum of the digits of a number (in base 10), without knowing the digits?

Answer & Explanation

Genesis Reilly

Genesis Reilly

Beginner2022-04-25Added 12 answers

Step 1
There is a formula for the sum of digits of n:
s(n)=n-9k=1n10k
Note that the sum finite since n10k=0 for k big enough.
I doubt this formula simplifies enough to calculate the sum of digits of numbers of the form 2n

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