Unsolved Questions - 2

The repetition.
I think that you might have heard of this problem earlier, it's an equation which you are supposed to do repeatedly. All you have to do is this;
- Take any even number, if it's even divide it by 2 - But if it's odd, multiply it by 3 and add 1
For those who doesn't know about this, try it yourselves! Keep repeating this process and see the final result (there is no "final" result actually). I will give you a few examples;
#15
15 -> 46 -> 23 -> 70 -> 35 -> 106 -> 53 -> 160 -> 80 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1 -> 4 -> 2 -> 1... And so on
Let's see the final stop before the repitition begins with another example.
#23
23 -> 70 -> 35 -> 106 -> 53 -> 160 -> 80 -> 40 -> 20 -> 10 -> 5 -> 16 -> 8 -> 4 -> 2 -> 1 -> 4 -> 2 -> 1 -> 4...
Then again it was one wasn't it?
Mathematicians haven't found a particular equation for this as yet, but can you figure out one? I'm trying to do so, but I'm not a mathematician myself to find one! If you can come up with one, drop a text below! ;)

Note by Hasna Hassen
3 months, 3 weeks ago

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1 vote

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Very intriguing! You've probably already seen this, but for anyone who hasn't, here is a summary of what is currently known about this process.

David Stiff - 3 months, 3 weeks ago

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Hmmm... The theory is alot much complicated than I thought it would be!

Hasna Hassen - 3 months, 2 weeks ago

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