Geodesic
On the ``tree'' structure of natural numbers
Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 121-141

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With each positive integer one can naturally associate a graph in the form of a tree. This paper is concerned with the average values of the number of edges, the number of leaves and the height of trees corresponding to positive integers not greater than a given boundary.
Keywords: prime divisors, multiplicity of a divisor, Riemann zeta function. 
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     author = {V. V. Iudelevich},
     title = {On the ``tree'' structure of natural numbers},
     journal = {Diskretnaya Matematika},
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     number = {3},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DM_2021_33_3_a8/}
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V. V. Iudelevich. On the ``tree'' structure of natural numbers. Diskretnaya Matematika, Tome 33 (2021) no. 3, pp. 121-141. http://geodesic.mathdoc.fr/item/DM_2021_33_3_a8/