Black-Hole Numbers of Iteration of Digital Quintic Power Sum

DOI

10.2991/icamcs-16.2016.41How to use a DOI?

Keywords

Black-hole Number, Sum of Digital Power, Iteration, Fixed Point, Periodic Point

Abstract

For iteration of quintic power sum of digits there are seven fixed points, two 2-circles, one 4-circle, one 6-circle, two 10-circles, one 12-circle, one 22-circle and one 28-circle. The probabilities for natural numbers falling into each fixed point or circle by several times iterating of quintic power sum are unbalanced. In it about 1/3 fall into 22-circle, about 1/4 into 28-circle, the probability of falling into 12-circle is slightly less than 1/4, that of falling into seven fixed points is less than 1%.

Copyright

© 2016, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Yao Zhang
AU  - Xiaopan Li
AU  - Wenliang Wu
PY  - 2016/06
DA  - 2016/06
TI  - Black-Hole Numbers of Iteration of Digital Quintic Power Sum
BT  - Proceedings of the 2016 5th International Conference on Advanced Materials and Computer Science
PB  - Atlantis Press
SP  - 201
EP  - 204
SN  - 2352-5401
UR  - https://doi.org/10.2991/icamcs-16.2016.41
DO  - 10.2991/icamcs-16.2016.41
ID  - Zhang2016/06
ER  -