3n + 1 Conjecture or the Collatz Conjecture Considered

One of the most interesting phenomena in mathematics is the Collatz Conjecture, which really isn't too hard to understand for most seventh graders, and it is an important concept for those who go on to higher math, as it will help them understand our number based system of mathematics when coming up with new algorithms to be used in computers.

Let me explain. The 3n + 1 conjecture suggests that any number (natural number) times 2 or 2n can be divided by 2 over and over again to get to 4, then 2, then 1, provided that when you end up with a "non-divisible by two number" or an odd number you use 3n + 1 and repeat the process.

They have an interesting name for this process called HOPTO, which is an acronym for "Half or Triple Plus One" - and so this Collatz Conjecture claims that you can start with any number and always get to "Oneness" - which sounds pretty cool; Oneness. Now then, before I get much further, let's look at the history of this "conjecture" and make sure we are all on the same page in case you have been taught to call it something else, some people refer to the conjecture by another name depending on where they were taught, and which country the live in.

According to WikiPedia (with ample footnotes to back it up) - "The conjecture is also known as the 3n + 1 conjecture, the Ulam conjecture (after Stanislaw Ulam), Kakutani's problem (after Shizuo Kakutani), the Thwaites conjecture (after Sir Bryan Thwaites), Hasse's algorithm (after Helmut Hasse), or the Syracuse problem; the sequence of numbers involved is referred to as the hailstone sequence or hailstone numbers, or as wondrous numbers.
" This conjecture works for all numbers, theoretically, but sometimes it takes a lot of work to get there.
If you think you've found a number for which it doesn't work, then you are the winner of a mathematics prize, but before you say "Pi" - remember you have to prove that the conjecture doesn't work, not that there are not currently sufficient computers to allow us to do so.

Also, Pi is not a whole natural number.
After all, the number Pi has never fully been achieved, and even if we take the number out a million decimal points, and then apply the 3n + 1 - well you can see the hardship we will encounter there.

Now then, perhaps "Pi as n" multiplied by three will give us a natural number or perhaps we can multiply it to yet another number (yet to be determined) to begin the process, but I would wait until I see it to believe it.
Okay so, indeed, I hope you've enjoyed this mathematical conjecture and potential conundrum for using it to reduce Pi to oneness, then you can have your Pie and Eat it too. Please consider all this and think on it.