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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
I ran into the same problem. Update sum with the following code in place of yours:
sum = int(sum//2)
Yes, that's TWO division signs. This returns a result rounded to the nearest whole number. You need that or else the new sum value will throw off certain iterations because of the remaining decimal value.
I never knew about the // operator until looking stuff up for this kata.