A new branching tree model has been proposed for the first time in the direction of increasing degree* 2** ^{n}* (merging in the reverse direction), which coincides with the direction of increasing total stopping time. It has been shown that each time corresponds to a sequence of individual numbers

*n(tst)*→∞, the volume of which increases with time. Thus, it is proven that each time corresponds to a finite number of Collatz sequences of the same length. The reason for the formation of a histogram or spectrum

*tst(q)*with two peaks has been established. It is shown that the double structure is formed by the regularities of Jacobsthal recurrence numbers at the nodes of the sequences. It has been established that the graph

*tst(q)*with the numbers of active nodes in semi-logarithmic coordinates

*tst,*log

*m(p)*appears as a straight line, while the graph for the numbers of inactive nodes appears as a scattered spectrum. Based on the established statistical regularities

*tst(q)*, a new recurrent model of trivial cycles is proposed.

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