A Boundary Property of Dataset C
Yan Liu, Xingbo Wang · International Journal of Mathematics Trends and Technology · 2025
The dataset C has been shown to exhibit the characteristic of locally accumulating multiples of the divisors of a given composite integer, and it is employed to assist in identifying divisors of unfactorized integers. While several properties of this dataset have been described in the existing literature, its boundary characteristics remain unexplored. This paper demonstrates that the first and last rows of the dataset C contain an identical number of multiples of the divisors of the composite integer under consideration, and this number corresponds to the maximum count across all rows. The identified property enhances the overall understanding of the dataset structure and may facilitate the design and optimization of practical search algorithms.