Mathematics · Permutations and Combinations
40 children are standing in a circle and one of them (say child-1) has a ring. The ring is passed clockwise. Child-1 passes it to child-2, child-2 passes it to child-4, child-4 passes it to child-7, and so on. After how many such changes (including the first pass by child-1) will the ring be in the hands of child-1 again?
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