Collatz pretends that all the operations will end by 2, whereas the number 2 is the basis, the beginning.
If X/2=y this means( x/2)/1=y whatever is X.
If we want to reach 2 by starting with X we have simply divide X on Y but in a series of operations.we have to scatter Y,Just like what Collatz kept doing
Why shall we multiply X by 3 sinse it will give Z=3x
e:g:(15+1)/2=8
8/2=4/
4/2=2
2/2=1
19+1=20/2=10/2=5+1=6/2=3+1=4/2=2/2=1.
Why 3X+1?
The answer is to get an even number or very even number to build a series .
Every very even number divided by 2 gives us an even number.
The first even number is 2 the.
The first very even number is 4.
The Collatz series appears like a demolition.
Whereas in fact is a construction.
From the real life:
You have a truck that breaks down.
You stop and you think where did you leave your lumberjack the last time,you remember its under the passenger seat,you find it , bring it and place it under the flat tyre, then finally you use it to lift the whole truck.
The lumberjack works here like the number 2.
Its the same lumberjack,you don't borrow one.
You are now kneeling before the LJ and juste finished thé job,you stand,you find yourself before the wheel.You climb the truck and sit in the same level as the LJ point.you put it underneat the passenger seat again.And you tell to yourself: where did I see this LJ before.
This is how Collatz is fooling us: we think that 2 equals 2, but in reality 2 is 2.
Now; why 4 then 2 then 1 then 2 then 4 ?
Its actually 1,2 then twice 2
It's because we already admitted the game was built on 1 then even if we go upper it is 4,ans it returns back to 2 then to 4..I call this the Triangle Bell Effect.
One more proof that the process don't stop
If 2y=3X+1" We are going upside" There's always even numbers that take two shapes
eg: 8=[(3×5)+1]/2 or 8= 16/2 which starts another unlimited branch in the tree.
Conclusion
Since Y=3X+1 has an uncountable number of solutions whatever is the value of the real number X.
Collatz Conjecture's game hides a paralogism;It doesn't end by 4_2_1,but does starts by 1_2_4.
Result:
There are o real or natural numbers that don't end by 4_2_1 through Collatz processes .