Click on the green flag. The Collatz conjecture is one of the great, unsolved problem of number theory. N = positive integer Orbit = the number sequence generated by running N through the Collatz algorithm. See Notes and Credits
See my previous Collatz project - The Collatz Conjecture - at https://scratch.mit.edu/projects/15709130/ This project graphs the number sequence (orbit) for each n = 1 to 500. The orbit is graphed along the vertical y-axis and n along the horizontal x-axis. There are patterns to be found in the exploration of the Collatz Conjecture but so far, the patterns have not helped prove the conjecture. The diagonal lines seen in the graph belong to the family y =(3^m)/(2^n) where m, n are integers.
