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http://dx.doi.org/10.5831/HMJ.2015.37.4.529

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

JEONG, KYUNG HO (Jangdeok Middle School)
KIM, IHN SUE (Department of Mathematics Education, Chonnam National University)

Publication Information

Honam Mathematical Journal / v.37, no.4, 2015 , pp. 529-547 More about this Journal

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 $S_{q,p}(x)-x$ is the largest. Additionally, we provide an algorithm to find the greatest expanded number.

Keywords

expanded number; greatest expanded number;

Citations & Related Records

Reference

1	H.G. Grundman and E.A. Teeple, Iterated Sums of Fifth Powers of Digits, Rocky Mountain J. Math. 38(2008), no.4, 1139-1146. DOI
2	N.P. Singh, On the Sum of Powers of Digits of a Number, Parabola, 41(2005), no.1, 1-2.