Interesting numbers found by making a little
program meself (the iterations stop the
moment a value is reached that is lower than the initial one, or higher than 1,000,000,000).
Start Num Max Value Break
--------------------------------
27 96 9232 23
31 91 9232 23
47 88 9232 46
63 88 9232 61
71 83 9232 61
703 132 250504 628
1055 130 250504 628
1407 132 250504 1256
1583 127 250504 1256
2111 130 250504 1256
7279 125 1702276 3844
10087 171 2484916 7688
12399 122 2480056 8729
13503 127 1052512 10696
14695 130 2480056 8729
15039 135 9635920 10049
15131 127 2484916 11983
22559 132 9635920 20098
26623 106 106358020 26321
31911 96 121012864 24928
34239 150 18976192 32572
35655 220 41163712 29405
37503 205 35075104 21722
41407 140 6454384 31123
45055 181 13699096 43444
45127 210 41163712 29405
47867 94 121012864 24928
50427 106 121012864 49856
53247 106 106358020 52642
53851 88 121012864 49856
56095 119 106358020 52642
56255 202 35075104 43444
56731 101 121012864 49856
57115 200 41163712 29405
59903 101 106358020 52642
60583 83 121012864 49856
60975 207 593279152 52975
64255 194 41163712 58810
65307 96 521790496 51014
67583 176 13699096 57925
69535 171 593279152 52975
73471 91 521790496 51014
73755 132 139841152 65699
75007 202 35075104 57925
77031 145 21933016 65134
77039 125 18976192 40667
77671 Dno Dunno 1047216490
So 77671 hit the ceiling, as 1,047,216,490 is too high...
Even more
peculiar is the number of
iterations. To the left is the number of iterations it took to get below the
inital value, to the right is the
frequency of this happening for all initial values from 1 to 77671.
Num Frq
------------
1 38835
3 19418
6 4855
8 4854
11 1821
13 2124
16 909
19 569
21 803
24 414
26 558
29 304
32 226
34 293
37 163
39 230
42 121
45 180
47 89
40 63
52 103
55 62
57 87
60 52
63 35
65 55
68 32
70 62
73 31
75 37
78 21
81 17
83 22
86 16
88 23
91 13
94 15
96 20
99 8
101 11
104 9
106 15
109 14
112 10
114 12
117 10
119 9
122 4
125 3
127 6
130 4
132 4
135 2
140 1
143 1
145 1
150 2
163 1
171 2
176 1
181 1
194 1
200 1
202 2
205 1
207 1
210 1
220 1