Honam Mathematical Journal (호남수학학술지)

The Honam Mathematical Society (호남수학회)
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THE GREATEST EXPANDED NUMBER EXPANDED BY SUMMING OF POWERS OF ITS DIGITS

  • Received : 2015.11.18
  • Accepted : 2015.12.07
  • Published : 2015.12.25
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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.

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References

  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. https://doi.org/10.1216/RMJ-2008-38-4-1139
  2. N.P. Singh, On the Sum of Powers of Digits of a Number, Parabola, 41(2005), no.1, 1-2.