Pros/Cons of Number vs. int vs. uint

There has been some discussion about the performance considerations and appropriateness of using Number vs. int vs. uint in various situations in ActionScript 3 code. After reading the analysis by Sho, Grant, Tink and Keith, my plan is to use Number almost all the time, except when I'm just using an integer counter in a loop, in which case I'll be using int (and not uint).