Problem

2019 AMC 10B Problem 12

What is the greatest possible sum of the digits in the base-seven representation of a positive integer less than 2019?

\textbf{(A) } 11 \qquad\textbf{(B) } 14 \qquad\textbf{(C) } 22 \qquad\textbf{(D) } 23 \qquad\textbf{(E) } 27


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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