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KöMaL 2017 K554

    The integers 1 to 2017 are listed as follows: first those numbers not divisible by 3 are written down in increasing order. Then the list continues with those numbers that are divisible by 3 but not divisible by 9, followed by those divisible by 9 but not divisible by 27, and so on. a)a) What is the last number of the list? b)b) In which position will 2017 be in the list? c)c) In which position will 2016 be in the list?

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