| 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 |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| 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 | 3 cycles | 12 nodes | ⮎ 0b → a1 → Y3 → U7 → MF → 6V → OD → AR → GL → 4X → S9 → IJ ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ IbJ ⮌ |
| 4 | 4 cycles | 9 nodes | ⮎ A5VS → QHJC → E1ZO → Y9R4 → UHJ8 → M1ZG → Y5V4 → UPB8 → MDNG ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ PBbPD → QBbPC → QDbNC → PCbOD ⮌ |
| 6 | 6 cycles | 57 nodes | ⮎ C60aVQ → aPDNC2 → YD9RO4 → UIAQJ8 → MG0aLG → a64WV2 → YSOC94 → UJBPI8 → ME0aNG → a95VS2 → YQIIB4 → UEbbM8 → TN7TE9 → MK8SHG → K62YVI → WP1ZC6 → YQCOB4 → UFBPM8 → ME6UNG → O95VSE → QJ9RIC → IE0aNK → a91ZS2 → ZXII43 → WSbb86 → VT3X87 → UOKGD8 → MB3XQG → UF5VM8 → QM6UFC → OE6UNE → OA8SRE → KH9RKI → I31ZYK → YV1Z64 → YUOC74 → UNBPE8 → ME8SNG → K95VSI → QJ1ZIC → YE0aN4 → aU8S72 → YNJHE4 → U91ZS8 → YMIIF4 → U6bbU8 → VSbb87 → UT2Y88 → WMKGF6 → Q73XUC → UNDNE8 → MA8SRG → KH5VKI → Q31ZYC → YVDN64 → UP9RC8 → MICOJG ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ SI7bTJA → UJ9bRI8 → TL8bSG9 → TKBbPH9 ⮌ |
| 8 | 4 cycles | 93 nodes | ⮎ CA30aYRQ → aVHDNK62 → YPA2YRC4 → WUHCOK76 → QNC2YPEC → WED8SON6 → QKB8SQHC → KFE2YNMI → W971ZUS6 → YQNIIEB4 → UF8bbSM8 → TTF5VM89 → QLK6UHGC → OE52YWNE → WRA8SRA6 → QKHGKKHC → E432YYXO → WVT9R866 → QPLHJGCC → ED51ZWOO → YRB9RQA4 → UIHEMKJ8 → M830aYTG → aVL5VG62 → YQP4WCB4 → USFCOM98 → MJC6UPIG → OD60aVOE → aPB9RQC2 → YIFCOMJ4 → UC70aUP8 → aNMCOFE2 → YC96USP4 → UOJCOID8 → MCB0aQPG → aFD5VOM2 → YQB6UQB4 → UOFEMMD8 → MB86UTQG → OLF5VMGE → QA74WURC → SNHDNKEA → IA92YSRK → WJH1ZKI6 → YQ30aYB4 → aVUEM762 → YPN7TEC4 → UMD8SOF8 → MKB6UQHG → OF62YVME → WPA6URC6 → QOHCOKDC → ECB2YQPO → WFD9ROM6 → QIB6UQJC → OFE0aNME → aA96USR2 → YOJGKID4 → UB40aXQ8 → aTMEMF82 → YL86UTG4 → UOL4WGD8 → SMB4WQFA → SIF6UMJA → OI70aUJE → aNA0aRE2 → aYH8SK32 → YVK2YH64 → WUP2YC76 → WQNCOEB6 → QFC8SPMC → KED6UONI → OB91ZSQE → YJF9RMI4 → UI70aUJ8 → aNM0aFE2 → aY96US32 → YVOIID64 → UPAbbQC8 → TRI0aJA9 → aKH0aKH2 → aY32YY32 → YWVU6654 → URPNDCA8 → MHD9ROKG → IB62YVQK → WPF1ZMC6 → YQD6UOB4 → UOFAQMD8 → MGB6UQLG → OF64WVME → SPA6URCA → OIHCOKJE ⮌ |
| 9 | 5 cycles | 10 nodes | ⮎ UNF6bUME8 → VMG7bTLF7 → UOE5bVND8 → WNH9bRKE6 → VND5bVOE7 → WOI9bRJD6 → VNE5bVNE7 → WOH8bSKD6 → VOF6bUMD7 → VOH8bSKD7 ⮌ |
| 10 | 2 cycles | 118 nodes | ⮎ GB874WUTQM → SNLF5VMGEA → QI974WUSJC → SNJE0aNIEA → aI990aSSJ2 → aYJJ0aII32 → aYV10aa632 → aZYVOC6322 → YXVPBPC644 → UTPECONC88 → MLDC8SPOGG → KDB64WVQOI → SPFB1ZQMCA → YIFD6UOMJ4 → UOB70aUQD8 → aNMFAQMFE2 → YG976UUSL4 → UONJ4WIED8 → SMB90aSQFA → aJIF6UMJI2 → YO710aaUD4 → aZUNAQE722 → YXNG8SLE44 → UTK94WSH88 → SMLJ2YIGFA → WI750aWUJ6 → aRQN0aEBA2 → aYHF8SMK32 → YVK72YUH64 → WUPN2YEC76 → WQND8SOEB6 → QKFB8SQMHC → KFE72YUNMI → WN971ZUSE6 → YQNJ8SIEB4 → UKF90aSMH8 → aMJ72YUIF2 → YWN70aUE54 → aURN8SEA72 → YNKH8SKHE4 → UK932YYSH8 → WVMJ2YIF66 → WQP70aUCB6 → aQNFCOMEB2 → YFC96USPM4 → UOJD6UOID8 → OMBB0aQQFE → aFFA6URMM2 → YOH76UUKD4 → UONB2YQED8 → WMFB8SQMF6 → QKF76UUMHC → ONE72YUNEE → WNA98SSRE6 → QKJH8SKIHC → KE330aYYNI → aVV91ZS662 → ZXPPIICC43 → WTDCbbOO86 → VTKFbbLH87 → UTGC0aPL88 → aMLD4WOGF2 → YSB74WUQ94 → USNJEMIE98 → MJ980aTSIG → aLJ60aVIG2 → aYP50aWC32 → aYVRCOA632 → YVPHBPKC64 → UPED2YONC8 → WMDB8SQOF6 → QKFB6UQMHC → OFE72YUNME → WNA96USRE6 → QOJH8SKIDC → KEB30aYQNI → aVF91ZSM62 → ZXPJ6UIC43 → WTOD0aOD86 → aQLBAQQGB2 → YGFF4WMML4 → US774WUU98 → SNNMIIFEEA → I996bbUSSK → VSLA7TRG97 → OMJH4WKIFE → SA730aYURA → aVNIGKJE62 → YP940aXSC4 → aUTJCOI872 → YNLC0aPGE4 → aUD94WSO72 → YSNJAQIE94 → UJG90aSLI8 → aMJ50aWIF2 → aYR70aUA32 → aYVNGKE632 → YVP93XSC64 → VTPJCOIC87 → OLDC0aPOGE → aDBA4WRQO2 → YSHFAQMK94 → UJG72YULI8 → WNM50aWFE6 → aRQ96USBA2 → YOJHEMKID4 → UB830aYTQ8 → aVMLEMGF62 → YP874WUTC4 → USNLCOGE98 → MJC94WSPIG → SJD60aVOIA → aPIB0aQJC2 → aYFD0aOM32 → aYVB6UQ632 → YVPOEMDC64 → UPDB7TQOC8 → NLFDAQOMGF ⮌ |