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arXiv · 2012.07839

On the cluster structures in Collatz level sets

Markus Sigg
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Abstract

The cluster structures that can be observed in the first few level sets of the Collatz tree are maintained through all its levels, provided that the orbit steadiness \[ \prod_{\substack{k \in R(n)\\ k \equiv 4\ (\mathrm{mod}\ 6)}} \frac{k-1}k \] of the elements $n$ of the Collatz tree is suitably bounded from below, where $R(n)$ denotes the Collatz orbit of $n$.

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Markus Sigg. 2020-12-13. On the cluster structures in Collatz level sets. https://arxiv.org/abs/2012.07839

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