THE GREATEST EXPANDED NUMBER EXPANDED BY SUMMING OF POWERS OF ITS DIGITS

• Journal title : Honam Mathematical Journal
• Volume 37, Issue 4,  2015, pp.529-547
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2015.37.4.529
Title & Authors
THE GREATEST EXPANDED NUMBER EXPANDED BY SUMMING OF POWERS OF ITS DIGITS
JEONG, KYUNG HO; KIM, IHN SUE;

Abstract
In this paper, we proved some properties of the greatest expanded numbers, and give the method to determine the greatest expanded numbers and find the integer x for which $\small{S_{q,p}(x)-x}$ is the largest. Additionally, we provide an algorithm to find the greatest expanded number.
Keywords
expanded number;greatest expanded number;
Language
English
Cited by
References
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H.G. Grundman and E.A. Teeple, Iterated Sums of Fifth Powers of Digits, Rocky Mountain J. Math. 38(2008), no.4, 1139-1146.

2.
N.P. Singh, On the Sum of Powers of Digits of a Number, Parabola, 41(2005), no.1, 1-2.