Convergence of the Collatz Sequence
For any natural number was created the supplement sequence, that is convergent together with the original Collatz sequence. The numerical parameter - index was defined, that is the same for both sequences. This new method provides the following results:
- All natural numbers were distributed into six different classes;
- The properties of index were found for the different classes;
- For any natural number was constructed the bounded sequence of increasing numbers,
that is convergent together with the regular Collatz sequence.
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