| 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 | 14 nodes | ⮎ 0R → Q1 → O3 → K7 → CF → 2P → M5 → GB → 4N → I9 → 8J → AH → 6L → ED ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ DRE ⮌ |
| 4 | 1 cycle | 3 nodes | ⮎ C3NG → K3N8 → KBF8 ⮌ |
| 5 | 3 cycles | 4 nodes | ⮎ I8RIA → J7RJ9 → K9RH8 → JARG9 ⮌ |
| 6 | 5 cycles | 30 nodes | ⮎ 642ONM → MJFB86 → GB3NGC → K53NM8 → KHBFA8 → C73NKG → KD3NE8 → KC0QF8 → QC2OF2 → OM2O54 → MKGA76 → GD5LEC → G40QNC → QJ3N82 → OKAG74 → KD5LE8 → GC0QFC → Q42ON2 → OMI854 → KH9HA8 → C86KJG → EB3NGE → K4RRM8 → NJ1P85 → OIAG94 → K95LI8 → GC8IFC → A42ONI → MJ7J86 → GCAGFC ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ KC5RLF8 → MD7RJE6 → LF5RLC7 → ME8RID6 → LE4RMD7 → NF7RJC5 → MG6RKB6 → LG8RIB7 → KD6RKE8 → LC6RKF7 → LE7RJD7 → KE5RLD8 → MD6RKE6 → LG6RKB7 → LE8RID7 → KD4RME8 → NE6RKD5 → MH6RKA6 → LG9RHB7 ⮌ |
| 8 | 5 cycles | 31 nodes | ⮎ CA30QOHG → QL73NK62 → OKFCEC74 → KD31POE8 → OLC0QF64 → QKF2OC72 → OMD2OE54 → MKH0QA76 → QGD6KEB2 → OE50QMD4 → QKH0QA72 → QOD6KE32 → OLE0QD64 → QKF0QC72 → QOD2OE32 → OML0Q654 → QKHECA72 → OD71PKE4 → OKD0QE74 → QKD0QE72 → QOD0QE32 → QOL0Q632 → QOLEC632 → OLF1PC64 → OKF2OC74 → MKD2OE76 → MGD0QEB6 → QG50QMB2 → QOH4MA32 → OLI6K964 → KFE8IDC8 ⮌ |
| 9 | 3 cycles | 10 nodes | ⮎ MGA4RMHB6 → NGC5RLFB5 → MIA3RNH96 → OHD7RJEA4 → NH93RNIA5 → OIE7RJD94 → NHA4RMHA5 → NIC6RKF95 → MHB5RLGA6 → MGB5RLGB6 ⮌ |
| 10 | 8 cycles | 111 nodes | ⮎ A9830QOJII → QLB97JIG62 → OFC94MIFC4 → KI932OOI98 → MLC98IIF66 → GFA92OIHCC → M9742ONKI6 → MJGD8IEB86 → GBA50QMHGC → QH753NMKA2 → OKHD6KEA74 → KED70QKED8 → QDC10QQFE2 → QPO30QO322 → QONLK66432 → OLJFDDC864 → KFB2RROGC8 → PJD80QJE83 → QMBB0QGG52 → QOH54MMA32 → OLIH6KA964 → KFE96KIDC8 → EC930QOIFE → QL92RROI62 → PPKF2OC723 → NNLD2OE645 → MJIF0QC986 → QGB92OIGB2 → OM954MMI54 → KIHH8IAA98 → CA976KKIHG → ED973NKIEE → KD90RRQIE8 → RJH73NKA81 → QKDB6KGE72 → OED50QMED4 → QKH10QQA72 → QPOD6KE322 → ONLE0QD644 → QKJF0QC872 → QODB2OGE32 → OML50QM654 → QKHHECAA72 → OD771PKKE4 → OKDD0QEE74 → QKD10QQE72 → QPOD0QE322 → QONL0Q6432 → QOLJEC8632 → OLFB1PGC64 → OKF52OMC74 → MKHD2OEA76 → MGD70QKEB6 → QGD50QMEB2 → QOH50QMA32 → QOLH6KA632 → OLFE6KDC64 → KFE30QODC8 → QLC30QOF62 → QOLF2OC632 → OMLF2OC654 → MKHF2OCA76 → MGD72OKEB6 → MGD50QMEB6 → QHG50QMBA2 → QOH74MKA32 → OLID6KE964 → KFE90QIDC8 → QC930QOIF2 → QOL92OI632 → OMLF8IC654 → KHFA2OHCA8 → MC772OKKF6 → MGDD2OEEB6 → MG510QQMB6 → QPHG4MBA22 → ONI74MK944 → KJID8IE988 → CBA90QIHGG → Q9753NMKI2 → OKHD8IEA74 → KDA70QKHE8 → QDC70QKFE2 → QOD30QOE32 → QOLL0Q6632 → QOLFECC632 → OLF31POC64 → OLKF2OC764 → MKFD2OEC76 → MGD30QOEB6 → QLG50QMB62 → QOHF4MCA32 → OLI72OK964 → MKFD8IEC76 → GDA30QOHEC → QL740QNK62 → QOJFCEC832 → OLB31POG64 → OLKF4MC764 → KIFD2OEC98 → MC930QOIF6 → QLG92OIB62 → OMF94MIC54 → KIH92OIA98 → MC996KIIF6 → GE992OIIDC → M9940QNII6 → QJG98IIB82 → OBA94MIHG4 → KI974MKI98 → IDC98IIFEA ⮌ |
| 11 | 4 cycles | 19 nodes | ⮎ MHB61RPLGA6 → QJGB5RLGB82 → PLD84RMJE63 → OLGD5RLEB64 → NJFA2ROHC85 → PJF94RMIC83 → OLEA5RLHD64 → NJFB3RNGC85 → OIF83RNJC94 → OKFA5RLHC74 → NJEA4RMHD85 → NIE93RNID95 → OIE94RMID94 → NKD94RMIE75 → NIFB4RMGC95 → NID73RNKE95 → OIGB4RMGB94 → NKD74RMKE75 → NIFD6RKEC95 ⮌ |
| 12 | 13 cycles | 26 nodes | ⮎ KHFED0QEDCA8 → QC7310QQOKF2 → QPOLD2OE6322 → ONMLF0QC6544 → QKJHF2OCA872 → OMDB72OKGE54 → MKHD50QMEA76 → QHGD70QKEBA2 → QOD750QMKE32 → QOLHD0QEA632 → QOLF70QKC632 → QOLFD2OEC632 → OMLF30QOC654 → QLKHF2OCA762 → OMFD72OKEC54 → MKHD30QOEA76 → QLGD70QKEB62 → QOFD50QMEC32 → QOLH30QOA632 → QOLLF6KC6632 → OLFFE2ODCC64 → MKF330QOOC76 → QLLGD2OEB662 → OMFF50QMCC54 → QKHH32OOAA72 → OMLD76KKE654 ⮌ |