By six

From the digits 1,2,3,4 we create the long integer number 123412341234. .. .. , which will have 962 digits. Is this number divisible by 6?

Correct result:

x =  1

Solution:

n=962 n1=n/4=962/4=4812=240.5 n2=⌊n1⌋=⌊240.5⌋=240 n3=n−4⋅ n2=962−4⋅ 240=2  s=n2⋅ (1+2+3+4)+1+2=240⋅ (1+2+3+4)+1+2=2403 s3=s/3=2403/3=801  12341234…123412 x=1

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