On Zumkeller Numbers

@inproceedings{Rao2009OnZN,
  title={On Zumkeller Numbers},
  author={K. P. S. Bhaskara Rao and Yuejian Peng},
  year={2009}
}
  • K. P. S. Bhaskara Rao, Yuejian Peng
  • Published 2009
  • Mathematics
  • Generalizing the concept of a perfect number, Sloane's sequences of integers A083207 lists the sequence of integers $n$ with the property: the positive factors of $n$ can be partitioned into two disjoint parts so that the sums of the two parts are equal. Following Clark et al., we shall call such integers, Zumkeller numbers. Generalizing this, Clark et al., call a number n a half-Zumkeller number if the positive proper factors of n can be partitioned into two disjoint parts so that the sums of… CONTINUE READING

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    Zumkeller numbers

    • S. Clark, J. Dalzell, +3 authors M. Walsh
    • presented in the Mathematical Abundance Conference at Illinois State Uiversity on April 18th
    • 2008
    VIEW 10 EXCERPTS
    HIGHLY INFLUENTIAL

    Sums of Distinct Divisors

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Practical numbers.

    VIEW 4 EXCERPTS
    HIGHLY INFLUENTIAL

    Bounds for the Density of Abundant Integers