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math.CO2025
A Multigraph Characterization of Permutiple Strings
Benjamin V. Holt
A permutiple is a natural number whose representation in some base is an integer multiple of a number whose representation has the same collection of digits. A previous paper utili…
math.CO2025
Utilizing Symmetry in Finding New Permutiples from Known Examples
Benjamin V. Holt
A permutiple is a natural number whose representation in some base, , is an integer multiple of a number whose base- representation has the same collection of digits. Previ…
math.CO2025
Finding Permutiples of a Known Base and Multiplier
Benjamin V. Holt
Natural numbers which are nontrivial multiples of some permutation of their base- digit representations are called permutiples. Specific cases include numbers which are multiple…