@Yehuda, correct. the octagram is the eight-pointed star that is drawn; the octagon is the eight-sided shape found in the center of the star.

I guess it makes sense the the ones that take many steps would end up on along similar numbers as the many shorter paths take up most the other numbers.

I can understand numbers closer to one being more commonly reached. However, a common high maximum for quite a few relatively small numbers was a bit surprising.

And 463 takes 128 steps, reaching as high as 9232 before coming down. The number 73 goes up to the same height, taking 115 steps. In fact, the others I had mentions (47, 97 and 107) all reach a maximum of 9232 -- curious.

Your 47 takes 104 steps. Interestingly enough, the number 107 takes exactly 100 steps. However, 97 takes a whopping 118 steps.