| Radix Character Encoding | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | A | B | C | D | E | F |
| G | H | I | J | K | L | M | N | O | P | Q | R | S | T | U | V |
| Color Key | ||
|---|---|---|
| Orange | Fixed Point | number that becomes itself after one iteration |
| Green | Final Numbers | all numbers eventually reached, from all cycles |
| Purple | Cycle Start | iterations include entry into cycle, assuming it repeats |
| Red | Full Cycle | iterations include entire cycle, proving it repeats |
| Blue | Start Numbers | subset (optimization) of all numbers; minimal for full coverage |
| Gray | No Results | any calculation that has no results |
| Digits | # Full Cycles (excluding zero) |
Max Cycle Length |
Longest Full Cycles (excluding zero) (bold = exactly one cycle [excluding zero]) |
|---|---|---|---|
| 1 | 0 cycles | - | - |
| 2 | 1 cycle | (fixed) 1 node | ⮎ 7F ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ AMC → BMB ⮌ |
| 4 | 5 cycles | 11 nodes | ⮎ 70LG → L8D2 → J4H4 → FC98 → 72JG → H8D6 → B4HC → D0LA → L2J2 → JG54 → FAB8 ⮌ |
| 5 | 1 cycle | 4 nodes | ⮎ F6MF8 → G6MF7 → G8MD7 → F7ME8 ⮌ |
| 6 | 3 cycles | 13 nodes | ⮎ 720LKG → LI8D42 → JE4H84 → FD5G98 → B73IFC → F80LE8 → L75GF2 → JB7EB4 → F6MMF8 → GDMM87 → FE2J88 → H75GF6 → CA7ECB ⮌ |
| 7 | 1 cycle | 8 nodes | ⮎ HB2MJB6 → KD5MG93 → JF6MF74 → ID7ME95 → HB4MHB6 → IB5MGB5 → HD4MH96 → IB7MEB5 ⮌ |
| 8 | 3 cycles | 23 nodes | ⮎ B862JGEC → HA60LGC6 → LBA1KCB2 → KI1MMK43 → LJG1K632 → KIG9C643 → HEA2JC86 → HB61KGB6 → JB9MMCB4 → ID80LE95 → LD63IG92 → JFA3IC74 → GE81KE87 → J965GGD4 → FBA3ICB8 → F71MMKF8 → LFBMMA72 → KFB3IB73 → HF7MME76 → GFA0LC77 → L981KED2 → KI63IG43 → HFE9C876 ⮌ |
| 9 | 2 cycles | 38 nodes | ⮎ HB73MIFB6 → JCA3MICA4 → JF81MKE74 → LGC6MFA62 → KFA4MHC73 → JGA4MHC64 → IFB5MGB75 → HD93MID96 → JC83MIEA4 → JFA3MIC74 → JFB4MHB74 → IFA3MIC75 → JDB4MHB94 → IF81MKE75 → LFB6MFB72 → KF83MIE73 → JHB6MFB54 → IEB3MIB85 → JDA2MJC94 → KFA2MJC73 → KHC4MHA53 → JGC6MFA64 → IDA4MHC95 → ID82MJE95 → KEA4MHC83 → JG93MID64 → JFC6MFA74 → ID84MHE95 → ID94MHD95 → ID83MIE95 → JDA4MHC94 → IF82MJE75 → KEB6MFB83 → JE72MJF84 → KFC6MFA73 → JE84MHE84 → IF95MGD75 → HD95MGD96 ⮌ |
| 10 | 4 cycles | 41 nodes | ⮎ 97661KGGFE → JAA84HECC4 → FD621KKG98 → JIA73IFC44 → GEE81KE887 → J9665GGGD4 → FBAA3ICCB8 → F721MMKKF8 → LKDBMMA922 → KKCA1KCA23 → JIH21KK544 → JIFEBA8744 → FE860LGE88 → LA765GGFC2 → JBA81KECB4 → JF61MMKG74 → LIEC0LA842 → LJE61KG832 → KIGA5GC643 → HEBA1KCB86 → JB61MMKGB4 → LIE84HE842 → JED65GG984 → FBA63IGCB8 → FA71MMKFC8 → LFC52JHA72 → JHC81KEA54 → JFC61KGA74 → JFA81KEC74 → JF861KGE74 → JFA85GEC74 → FB861KGEB8 → JA75MMGFC4 → IHC62JGA55 → HDCA1KCA96 → JB421KKIB4 → JIFDMM8744 → IICA1KCA45 → JED21KK984 → JIF63IG744 → GEEA7EC887 ⮌ |
| 11 | 5 cycles | 49 nodes | ⮎ ID963MIGD95 → JDC73MIFA94 → JFB62MJGB74 → KFD93MID973 → JHB63MIGB54 → JFDB4MHB974 → IFA61MKGC75 → LFC94MHDA72 → KHA62MJGC53 → KHEB5MGB853 → JFC82MJEA74 → KFC73MIFA73 → JHB84MHEB54 → IFC92MJDA75 → KEB62MJGB83 → KHD82MJE953 → KHE94MHD853 → JGC94MHDA64 → IFB72MJFB75 → KEB83MIEB83 → JHA62MJGC54 → KFEB5MGB873 → JF972MJFD74 → KFC85MGEA73 → JF973MIFD74 → JFB85MGEB74 → IE972MJFD85 → KEB74MHFB83 → JGA72MJFC64 → KFD94MHD973 → JGA63MIGC64 → JFCA5MGCA74 → IE951MKHD85 → LFD94MHD972 → KHA63MIGC53 → JHDB5MGB954 → IEC71MKFA85 → LFB73MIFB72 → KIB83MIEB43 → JHEA2MJC854 → KFE93MID873 → JHB74MHFB54 → IFCA3MICA75 → JDB51MKHB94 → LGE81MKE862 → LJE85MGE832 → KIE85MGE843 → JGD85MGE964 → IEA84MHEC85 ⮌ |
| 12 | 3 cycles | 13 nodes | ⮎ FB8661KGGEB8 → JAA75MMGFCC4 → IHC64MMHGA55 → IHDB73IFB955 → FDC83MMIEA98 → JEA640LIGC84 → LFEA61KGC872 → KIA861KGEC43 → JHEA61KGC854 → JFCA61KGCA74 → JFA821KKEC74 → JIF861KGE744 → JFEA85GEC874 ⮌ |
| 13 | 2 cycles | 83 nodes | ⮎ IEC730MLJFA85 → MIEB73MIFB841 → LJEB72MJFB832 → KJGC72MJFA633 → KHGD94MHD9653 → JGCB73MIFBA64 → JFC950MLHDA74 → MHEA62MJGC851 → LKEB83MIEB822 → KJHA62MJGC533 → KHGEB5MGB8653 → JFCA82MJECA74 → KFC741MKIFA73 → LHGB84MHEB652 → KHCB82MJEBA53 → KHE940MLID853 → MIGD94MHD9641 → LIEB73MIFB842 → KIEB72MJFB843 → KHFB72MJFB753 → KHEA83MIEC853 → JHD963MIGD954 → JFDB73MIFB974 → JFB861MKGEB74 → LGD972MJFD962 → KJD963MIGD933 → JHGC73MIFA654 → JFDB94MHDB974 → IFA641MKIGC75 → LGDC94MHDA962 → KHB742MJIFB53 → KHFDA3MIC9753 → JHDA62MJGC954 → KFEB72MJFB873 → KHC872MJFEA53 → KHEA73MIFC853 → JHDA73MIFC954 → JFDA62MJGC974 → KFD962MJGD973 → KHD963MIGD953 → JHDB73MIFB954 → JFDA61MKGC974 → LGD962MJGD962 → KJDA73MIFC933 → JHGB62MJGB654 → KFEBA4MHCB873 → JGA740MLIFC64 → MHFC94MHDA751 → LICA62MJGCA42 → KJFC61MKGA733 → LHHD94MHD9552 → KHCC83MIEAA53 → JHD941MKID954 → LGFD83MIE9762 → KIC974MHFDA43 → JGEA62MJGC864 → KFDA83MIEC973 → JHB752MJHFB54 → KFECA3MICA873 → JHB741MKIFB54 → LGFDA3MIC9762 → KIC962MJGDA43 → KHFC72MJFA753 → KHEA84MHEC853 → JGC963MIGDA64 → JFCA72MJFCA74 → KFC851MKHEA73 → LHFA73MIFC752 → KIDA84MHEC943 → JGE952MJHD864 → KFEB84MHEB873 → JGA762MJGFC64 → KFDA94MHDC973 → JGA642MJIGC64 → KFFCA5MGCA773 → JF9851MKHED74 → LGEA74MHFC862 → KHB973MIFDB53 → JHDA61MKGC954 → LGEB72MJFB862 → KJD972MJFD933 → KHGC63MIGA653 → JHDBA5MGCB954 ⮌ |
| 14 | 5 cycles | 30 nodes | ⮎ FEB8661KGGEB88 → JAA765MMGGFCC4 → IHD964MMHGD955 → IHDB86MMFEB955 → HHC9631KJGDA56 → JGCBA41KICBA64 → JFEA21MMKKC874 → LKGDB51KHB9622 → KIICA3MMICA443 → JJGE87MMEE8634 → JIDC85MMGEA944 → IIEA740LIFC845 → LEED861KGE9882 → KIA6663IGGGC43 → HFEAAA1KCCC876 → JB86221KKKGEB4 → JIIFA5MMGC7444 → IIFDB62JGB9745 → HEDA83MMIEC986 → JGA9540LIHDC64 → LFECA41KICA872 → KIE8621KKGE843 → JIHEA65GGC8544 → FECBA61KGCBA88 → JA7621MMKKGFC4 → LKGEC62JGA8622 → JIHAA61KGCC544 → JFECA21KKCA874 → JIF8621KKGE744 → JIFEA85GEC8744 ⮌ |
| 15 | 5 cycles | 71 nodes | ⮎ IFCB851MKHEBA75 → LFDA740MLIFC972 → MJHB862MJGEB531 → LKGEB82MJEB8622 → KJID862MJGE9433 → KHGFC84MHEA7653 → JGCB973MIFDBA64 → JFC9630MLJGDA74 → MIFD962MJGD9741 → LKFC963MIGDA722 → KJHC962MJGDA533 → KHGEB72MJFB8653 → KHEB972MJFDB853 → KHEA751MKHFC853 → LHFCA73MIFCA752 → KIDA851MKHEC943 → LHGD952MJHD9652 → KJECB73MIFBA833 → JHGB740MLIFB654 → MHFDB93MIDB9751 → LJDA641MKIGC932 → LJHFC72MJFA7532 → KJGEA84MHEC8633 → JHFB863MIGEB754 → JFDB972MJFDB974 → KFC8641MKIGEA73 → LHGC973MIFDA652 → KIDB962MJGDB943 → KHFC741MKIFA753 → LHGDA84MHEC9652 → KHCB852MJHEBA53 → KHEC940MLIDA853 → MIGD952MJHD9641 → LKFDB73MIFB9722 → KJHB861MKGEB533 → LHHEB82MJEB8552 → KJEC962MJGDA833 → KHGD852MJHE9653 → KHECB84MHEBA853 → JGC9640MLIGDA64 → MHFCA72MJFCA751 → LKEA851MKHEC822 → LJIF963MIGD7432 → KIGEC95MGDA8643 → JGDA852MJHEC964 → KFEB852MJHEB873 → KHEA762MJGFC853 → KHEB973MIFDB853 → JHDA751MKHFC954 → LGECA62MJGCA862 → KJDA841MKIEC933 → LHHFA52MJHC7552 → KJECCA4MHCAA833 → JHF9421MKKID754 → LIGFDA5MGC97642 → KHDA962MJGDC953 → KHEB742MJIFB853 → KHFDA72MJFC9753 → KHEA862MJGEC853 → KHEB863MIGEB853 → JHDB862MJGEB954 → KFEB851MKHEB873 → LHFA762MJGFC752 → KJEB984MHEDB833 → JHF9651MKHGD754 → LGECB95MGDBA862 → KGA8530MLJHEC63 → MIHEB83MIEB8541 → LJED962MJGD9832 → KJGD853MIHE9633 → JHGDB84MHEB9654 ⮌ |