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A Note on Universal Black Holes of a Dynamic System

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Abstract:

We know that while considering a mathematical dynamical system by assigning a rule of cubing the individual digits of a particular number continuously, we will end up at some number which is recurring and can be called as the Universal Black hole of that particular system. However, some numbers only end at 153. The reasons for this occurrence will be discussed by a theorem. Also, we list such numbers which are < 5000.

Info:

Periodical:
The Bulletin of Society for Mathematical Services and Standards (Volume 9)
Pages:
33-39
Citation:
K. Prasen and K. R. R. Gandhi, "A Note on Universal Black Holes of a Dynamic System", The Bulletin of Society for Mathematical Services and Standards, Vol. 9, pp. 33-39, 2014
Online since:
March 2014
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References:

http: /scienceasia. asia/index. php/amp/article/view/23/6.

http: /scienceasia. asia/index. php/amp/article/view/24/7.

http: /www. ijmsea. com/admin/docs/1379247228yes-3. pdf.

www. drgandhi. info.

http: /en. wikipedia. org/wiki/Miraculous_catch_of_fish.

Elementary Theory of Numbers: Second English Edition (edited by A. Schinzel) by W. Sierpinski, Pwn-Polish Scientific publishers, (1988).

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