LogFAQs > #986917784

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Topic	A divisibility by 11 problem you've probably never seen.
FLOUR 11/02/25 4:46:47 PM #1:	Define s(n) as follows: s(1)=1 s(2)=12 s(3)=123 ... s(10)=1234567890. For n>10 the digits merely repeat. So for example s(13)=1234567890123. Now the problem. What is the smallest natural number n such that s(n) is divisible by 11? What is the second smallest? And no calculators permitted as that defeats the purpose. --- The alternate domination of one faction over another is itself a frightful despotism. - George Washington <cite>FLOUR posted [p:986917784] in A divisibi... [t:81064497]...</cite> <quote>Define s(n) as follows: s(1)=1 s(2)=12 s(3)=123 ... s(10)=1234567890. For n>10 the digits merely repeat. So for example s(13)=1234567890123.Now the problem. What is the smallest natural number n such that s(n) is divisible by 11? What is the second smallest? And no calculators permitted as that defeats the purpose. --- The alternate domination of one faction over another is itself a frightful despotism. - George Washington</quote> ... Copied to Clipboard!
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