Just thinking out loud as I puzzle over that anomlous Strange Anomaly yet properly accounted for (not to mention the unsurety of whether or not it has cohorts), namely that rogue
54. {(1, 54) (2, 27) (3, 18) (6, 9):

} So it's 6*9 and I keep going back to how 9 is a Perfect Square of 3, but everything else we have found is going with powers of two, but then all even powers of 2 are Perfect Squares, so now if ......but ........... then ...............
