Factor Histogram

This visualizer counts the number of prime factors (with multiplicity) of each entry in the sequence and creates a histogram of the results.

The number of prime factors with multiplicity is a function commonly called Omega.

The horizontal axis represents values of Omega. Each bar corresponds to a range of possible Omega values (a bin). The height of each bar shows how many entries in the sequence have a corresponding value of Omega. The leftmost bar corresponding to 0 factors counts all sequence entries equal to 0 or 1, as well as those entries that could not be factored (because their values were too large for Numberscope to handle). The latter are indicated by hatching a portion of that leftmost bar proportional to the number of unfactored entries.

Parameters

• Bin Size: The size (number of Omega values) for each bin of the histogram.
• Mouse Over: This turns on a mouse over feature that shows you the height of the bin that you are currently hovering over, as well as the bin label (i.e., which Omega values are included).

Originally contributed by Devlin Costello.