Each of the integers 1 to 10,000,000
is repeatedly replaced by its digital sum until we obtain a list of 10^7 decimal digits (a.k.a. digital roots).
Will this list have more ones or twos?
Justify your answer.
Summing a numbers digits preserves its value mod 9. The original number and its final single digit value will have the same value mod 9. 1 will appear more often.
Posted by spencerv
on 2018-09-20 04:11:23