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Move the 2 - double the number II (Posted on 2011-08-21) Difficulty: 3 of 5
(I) A certain tridecimal (base 13) positive integer starts with the digit 2. Moving the 2 from the beginning of the number to its end doubles it.

What is the minimum value of this number?

(II) Determine the general form of a positive integer n such that there does not exist any base-n positive integer, starting with the digit 2, that doubles itself when the digit 2 is shifted from the beginning of the number to its end.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Some Thoughtscomputer exploration of part II (likely spoiler)Charlie2011-08-21 14:12:13
Some ThoughtsPart I solutionCharlie2011-08-21 13:47:32
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