Is it a multiple of 3?

Algebra Level 3

Is the following number a multiple of 3:

12345678910111213141516 ... 2014201520162017

Note. This number is a concatenation of every positive integer from 1 to 2017

No Yes

William Steinberg by William Steinberg , 20, Australia

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1 solution

Sum of digits = 2017 × 2018 2 =\dfrac{2017\times 2018}{2} which is not divisible by 3 3 , hence No.

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