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MathNet 2009-part-02 — 175 problems (EN–VI) Question 70

Math Olympiad Vault · MathNet 2009-part-02 — 175 problems (EN–VI)

Question 70

How many positive integers $n$ have the property that their representation in base 2 coincides with the representation in base 3 of $2 n$ ?
(A) None
(B) 1
(C) 2
(D) more than 2, but finitely many
(E) infinitely many.