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September 11, 2020

The following iterative sequence is defined for the set of p

The following iterative sequence is defined for the set of positive integers:if n → n/2 (n is even)if n → 3n + 1 (n is odd)For example:Using the rule above and starting with 13, we generate the following sequence:13 → 40 → 20 → 10 → 5 → 16 → 8 → 4 → 2 → 1It can be seen that this sequence (starting at 13 and finishing at 1) contains 10 terms. Although it has not been proved yet (Collatz Problem), it is thought that all starting numbers finish at 1.Which starting number, under 20, produces the longest chain?NOTE: Once the chain starts the terms are allowed to go above 20.

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