# 2017 students in a circle

A group of 2017 students $$S_0, S_1, S_2,\ldots, S_{2016}$$ sit in this order around a circle, going clockwise.

Starting from student $$S_0$$ with the number 1, and going clockwise, they consecutively count the numbers 1, 2, and 3, and repeat.

Each student that counts 2 or 3 as they do this must leave the circle, and they continue until only one student $$S_k$$ remains.

Determine $$k$$.

### This is a part of the Set.

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