This is a Collatz and Variated Collatz Conjecture calculator. The basic '3x+1' Collatz Conjecture: Choose a positive integer. If it is even, divide it by two, if it is odd, triple it and add one. You will always end in a loop of 4, then 2, then 1, looping back to 4. The variated 3x+n Collatz Conjecture (aka Wodzak variations): Choose a positive integer. If it is even, divide it by two, if it is odd, triple it and add n, where n is any positive odd integer. The standard loop begins with 4n, then 2n, then n, looping back to 4n, but there are many other loops with different n values. Other loops are possible in Wodzak variations. One notable loop begins with 3+n, which is true for some starting integers, notably some multiples of three. Other seemingly random loops appear as well.
New Feature -- Graph shows division (blue) and multiplication (red). Bugs -- There are some issues with higher n values from what I've tested, and that can mess with the graph, too. Whenever you encounter this bug, put the n value and start number in the comments, please!