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 Move the 6, Quadruple the Number (Posted on 2003-09-04)
In Move the 2, Double the Number, we found a number that ended in two, for which moving the two to the beginning of the number doubled its value.

For this problem, we have a number with 6 as the last (right-most) digit.
If we erase the 6 and put it on the left end of the number (for example, 936 would become 693), then we have a number four times our original number (we see that 936 doesn't work, of course).

What is the smallest number that fits this condition?

What is the second smallest number that works?

What is the tenth smallest number that works?

 See The Solution Submitted by DJ Rating: 4.1667 (12 votes)

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 answer | Comment 5 of 6 |

The smallest number is 153846

The second smallest number is 153846153846

The tenth smallest number is 153846153846153846153846153846153846153846153846153846153846.

Edited on September 1, 2007, 12:47 am
 Posted by K Sengupta on 2007-08-31 23:26:03

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