The Collatz Conjecture

This work aims to show that the so-called Collatz conjecture (also known as the 3n + 1 conjecture) can be proven using simple forms of number analysis and the logical conclusions that follow from them.
The endless cycle 1-4-2-1 is discussed, as are the modification length and the supposedly random number sequences of the Collatz number series.
However, the key to proving the Collatz conjecture, that all number sequences end at 1, lies in the analysis of the number space presented by the author.