Number theory · Positional notation · Divisibility · Powers
Problem 4, 2026
← Prev · 45 / 45 · Next →Find all natural numbers that are powers of \(3\) and whose representation in base \(12\) contains only the digits \(6\) and \(9\).
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Serbian Municipal Competition 2026, high school grade I, category A, problem 4. Organized by the Mathematical Society of Serbia (DMS). Source