What this catalogue represents
This is a complete computed set, not a collection of automatically generated article pages. Every fixed-width input appears once in the interactive catalogue. Selecting a number opens its exact arithmetic path, while the filters make it possible to compare path length and destination across the whole space.
Numbers with identical digits are marked as repdigits because their descending and ascending arrangements are equal. All other 4-digit inputs converge to 6174; the iteration filter lets you isolate immediate arrivals as well as the longest routes.
Interpret the aggregate statistics →