Base 18: Cycles Sequences: Maximum Length Cycle Count

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits # Full Cycles
(excluding zero)		 Max Cycle
Length		 Longest Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles--
21 cycle 9 nodes⮎ 0H → G1 → E3 → A7 → 2F → C5 → 6B → 4D → 89 ⮌
31 cycle (fixed) 1 node ⮎ 8H9 ⮌
42 cycles3 nodes⮎ A1F8 → E1F4 → E974 ⮌
52 cycles2 nodes⮎ 97H99 → 9HHH8 ⮌
65 cycles12 nodes⮎ 820GFA → GD1F42 → FD8843 → C8HH86 → B93D87 → A40GD8 → G91F82 → FD0G43 → GC8852 → E6HHA4 → DB3D65 → A84C98 ⮌
71 cycle 4 nodes⮎ D82HE95 → F94HC83 → EB3HD64 → EA6HA74 ⮌
86 cycles32 nodes⮎ 8632EEBA → CB51FC66 → E764CBA4 → A852EC98 → C720GFA6 → GD62EB42 → EC94C854 → A870GA98 → G320GFE2 → GEDA6432 → EB93D864 → B950GC87 → G740GDA2 → GE92E832 → ECB0G654 → GA74CA72 → E832EE94 → CBA0G766 → G652ECB2 → EC74CA54 → A872EA98 → C320GFE6 → GDB5B642 → E964CB84 → A850GC98 → G720GFA2 → GED2E432 → ECB88654 → A74HHCA8 → DA3HHD75 → EC62EB54 → CA74CA76 ⮌
94 cycles14 nodes⮎ C842HED96 → FA73HDA73 → EC62HEB54 → FA95HB873 → EA41HFD74 → GBA5HB762 → FB53HDC63 → EC85HB954 → D972HEA85 → F961HFB83 → GC92HE852 → FE93HD833 → ECB4HC654 → DA75HBA75 ⮌
109 cycles8 nodes⮎ A7320GFEA8 → GDB31FE642 → FDB94C8643 → C9850GC986 → G7610GGBA2 → GFE52EC322 → EDCB6A6544 → A9753DCA88 ⮌
114 cycles14 nodes⮎ EC851HFC954 → GB973HDA862 → FD741HFDA43 → GCB95HB8652 → FB752HECA63 → FC963HDB853 → EC862HEB954 → FA962HEB873 → FC841HFD953 → GCB83HD9652 → FD862HEB943 → FCA72HEA753 → FC952HEC853 → FC973HDA853 ⮌
1219 cycles63 nodes⮎ A7510HHGGCA8 → HGB93HHD8611 → GGEA51FC7312 → FFDB72EA6423 → DDB952EC8645 → C98750GCA986 → G76310GGEBA2 → GFEB52EC6322 → EDCB74CA6544 → A98752ECA988 → C73210GGFEA6 → GFDB62EB6422 → EDC954CC8544 → A98770GAA988 → G33210GGFEE2 → GFEDBA664322 → EDB953DC8644 → B99750GCA887 → G74310GGEDA2 → GFEB92E86322 → EDCB50GC6544 → GA9774CAA872 → E83330GEEE94 → GBBBA0G76662 → GE5552ECCC32 → ECB776AAA654 → A75432EEDCA8 → CB9731FEA866 → EB6530GECB64 → GBA754CCA762 → E87532EECA94 → CBA730GEA766 → GB6532EECB62 → ECB754CCA654 → A87752ECAA98 → C73320GFEEA6 → GDBB62EB6642 → EC9554CCC854 → A87770GAAA98 → G33320GFEEE2 → GEDBBA666432 → EB9553DCC864 → B97750GCAA87 → G74330GEEDA2 → GEBB92E86632 → ECB550GCC654 → GA7774CAAA72 → E83332EEEE94 → CBBBA0G76666 → G65552ECCCB2 → EC7774CAAA54 → A87332EEEA98 → CBB320GFE666 → GDB654CCB642 → E98754CCA984 → A87310GGEA98 → GFB320GFE622 → GEDDB4C64432 → EB9984C98864 → A85110GGGC98 → GFF720GFA222 → GEDDD2E44432 → ECB998888654 ⮌
133 cycles6 nodes⮎ FC9641HFDB853 → GCB862HEB9652 → FE9652HECB833 → FCB962HEB8653 → FC9652HECB853 → FC9762HEBA853 ⮌
1448 cycles8 nodes⮎ A732110GGGFEA8 → GFFDB31FE64222 → FDDDB94C864443 → C999850GC98886 → G761110GGGGBA2 → GFFFE52EC32222 → EDDDCB6A654444 → A999753DCA8888 ⮌
156 cycles8 nodes⮎ FCB9531HFEC8653 → GCC9762HEBA8552 → FE97641HFDBA833 → GCCA741HFDA7552 → GEB8752HECA9632 → FEB9641HFDB8633 → GCCA752HECA7552 → FE97752HECAA833 ⮌
16104 cycles8 nodes⮎ A7321110GGGGFEA8 → GFFFDB31FE642222 → FDDDDB94C8644443 → C9999850GC988886 → G7611110GGGGGBA2 → GFFFFE52EC322222 → EDDDDCB6A6544444 → A9999753DCA88888 ⮌
175 cycles8 nodes⮎ FE977641HFDBAA833 → GCCA7431HFEDA7552 → GECA8752HECA97532 → FEB97531HFECA8633 → GCCB9641HFDB86552 → GEB87652HECBA9632 → FEB96541HFDCB8633 → GCCA8652HECB97552 ⮌
18242 cycles8 nodes⮎ A73211110GGGGGFEA8 → GFFFFDB31FE6422222 → FDDDDDB94C86444443 → C99999850GC9888886 → G76111110GGGGGGBA2 → GFFFFFE52EC3222222 → EDDDDDCB6A65444444 → A99999753DCA888888 ⮌
194 cycles4 nodes⮎ GGDC97410HGGDA85412 → HFFEC9851HFC9853221 → GGDDC9740HGDA854412 → HFEC99851HFC9885321 ⮌