3x + 1 is a math problem where you can start with any number that is a whole number and if it is odd you multiply it by 3 and add 1 (3x + 1). If it is even you divide by 2 and you keep doing this. Eventually, the number will fall into the 4, 2, 1 loop. Some mathematicians have spent decades trying to find a number that doe not end up in the 4, 2, 1 loop. No luck. Watch this video for more information: https://www.youtube.com/watch?v=094y1Z2wpJg This project simulates the path that one number takes to the next until it reaches 1. Disclaimer: If you choose too big of a number, or a number gets too high, Scratch will sometimes round it to infinity. This does not mean that it does not come back down to 1. Note: The y position is the number and the x position is the iteration that it is on. The origin is at the bottom left corner.
Veritasium (youtube channel) interesting video on this subject: https://www.youtube.com/watch?v=094y1Z2wpJg
