On the impossibility of an infinite chain in The Collatz Conjecture
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The Collatz Conjecture defines a number sequence constructed as follows:
If X_1 is odd, then X_2 = 3X_1 + 1.
If X_1 is even, then X_2 = X_1 / 2.
The conjecture itself asserts that every such sequence, starting from any number, eventually reaches the number 1 (or, more precisely, the cycle 4-2-1).
There are two hypothetical exceptions - either another cycle other than 4-2-1, or an infinite divergent sequence. In this paper, we will prove that the second option is impossible.
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创建时间：
2025-11-13
