Collatz Sequence
Problem of the Week - April 15, 2024
The Collatz Conjecture, also known as the "3n + 1" sequence, proposes that starting with any positive integer number and applying two rules (if even, divide by two; if odd, triple it and add one) will always eventually lead to the number one. For example, starting with 5, the sequence is 5, 16, 8, 4, 2, 1. There are 6 terms in this Collatz sequence. Starting with the number 27, how many terms will be in the Collatz sequence (including 27 and the ending 1)?
Problem submitted by Pat Costello, Eastern Kentucky University
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