2001 AIME I Problems/Problem 8

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Problem

Call a positive integer $N$ a $\textit{7-10 double}$ if the digits of the base-7 representation of $N$ form a base-10 number that is twice $N$. For example, $51$ is a 7-10 double because its base-7 representation is $102$. What is the largest 7-10 double?

Solution

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See also

2001 AIME I (ProblemsAnswer KeyResources)
Preceded by
Problem 7
Followed by
Problem 9
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions