perplexus.info :: Numbers : Ones vs twos

Ones vs twos (Posted on 2018-09-03)

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.

No Solution Yet Submitted by Ady TZIDON

Rating: 3.0000 (1 votes)

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| Comment 2 of 48 |

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.

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Posted by spencerv on 2018-09-20 04:11:23

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