| 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 | 3 cycles | 6 nodes | ⮎ 0J → I1 → G3 → C7 → 4F → A9 ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ 9JA ⮌ |
| 4 | 2 cycles | 6 nodes | ⮎ 52GF → E996 → 7JJC → C6C8 → 63FE → C7B8 ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ D5JD7 → E5JD6 → E7JB6 → D6JC7 ⮌ |
| 6 | 6 cycles | 17 nodes | ⮎ 840IFC → IB3F82 → GC2G74 → EC4E76 → A84EBA → A2JJGA → H95DA3 → E80IB6 → I82GB2 → GE2G54 → EC8A76 → 851HEC → G93FA4 → DB0I87 → I62GD2 → GE6C54 → C95DA8 ⮌ |
| 7 | 2 cycles | 13 nodes | ⮎ E84JEB6 → F85JDB5 → EA4JE96 → F84JEB5 → FA5JD95 → EA3JF96 → G94JEA4 → FC4JE75 → FA6JC95 → E92JGA6 → HA4JE93 → GD4JE64 → FC7JB75 ⮌ |
| 8 | 2 cycles | 11 nodes | ⮎ 8540IFEC → IB93FA82 → GC30IG74 → IDC4E762 → GA74EC94 → CA50IE98 → I940IFA2 → IGB0I832 → IGD2G632 → GED6C654 → C975DCA8 ⮌ |
| 9 | 6 cycles | 10 nodes | ⮎ E941JHFA6 → ID94JEA62 → HE83JFB53 → GEA5JD954 → FB93JFA85 → GA71JHC94 → ID92JGA62 → HGA3JF933 → GED5JD654 → FB96JCA85 ⮌ |
| 10 | 4 cycles | 23 nodes | ⮎ 86510IIEDC → IH973FCA22 → GFC50IE744 → ICB94EA872 → GA530IGE94 → IDC90IA762 → IG750IEC32 → IGD94EA632 → GDA70IC964 → IC750IEC72 → IG954EEA32 → GDA90IA964 → IC710IIC72 → IHG54EE322 → GFDA8A9644 → CB720IHC88 → IF542GFE42 → GEBB8A8854 → C9331HGGA8 → GDD40IF664 → ICB76CC872 → G6552GEED4 → EC996CAA76 ⮌ |
| 11 | 2 cycles | 5 nodes | ⮎ GCA72JGC974 → HC952JGEA73 → HEB72JGC853 → HEB73JFC853 → GEA73JFC954 ⮌ |
| 12 | 3 cycles | 28 nodes | ⮎ A55430IGFEEA → IDB98JJAA862 → HDA51JJHE963 → IGCB52GE8732 → GED952GEA654 → EC9970ICAA76 → I85510IIEEB2 → IHG992GAA322 → GFED10II6544 → IHCB96CA8722 → GF6530IGED44 → IDCB96CA8762 → G76530IGEDC4 → IDC974ECA762 → GA7550IEEC94 → IC9950IEAA72 → IG9510IIEA32 → IHGD90IA6322 → IGFD70IC6432 → IGDB74EC8632 → GDA752GEC964 → EC9750IECA76 → I98550IEEBA2 → IG9930IGAA32 → IGDD10II6632 → IHGD76CC6322 → GFD764EDC644 → CBA774ECC988 ⮌ |
| 13 | 1 cycle | 52 nodes | ⮎ GC6530JIGED74 → JFCB85JDB8741 → IFA642JGFD942 → HGCB93JFA8733 → GED841JHFB654 → IDCA84JEB9762 → HE8641JHFDB53 → IEDA84JEB9652 → HE9851JHEBA53 → IEC961JHDA752 → IGC862JGDB732 → HGDA63JFD9633 → GED973JFCA654 → GCA862JGDB974 → HCA641JHFD973 → IED962JGDA652 → HGB873JFCB833 → GED842JGFB654 → HCCA84JEB9773 → GD7541JHFEC64 → IDCA85JDB9762 → HD7641JHFDC63 → IED975JDCA652 → HD9762JGDCA63 → HEA762JGDC953 → HEB862JGDB853 → HEB852JGEB853 → HEB962JGDA853 → HEB851JHEB853 → IEC962JGDA752 → HGB862JGDB833 → HEDA52JGE9653 → HEB983JFBA853 → GEA631JHGD954 → IECB83JFB8752 → HFA742JGFC943 → HECB82JGB8753 → HEB742JGFC853 → HECA73JFC9753 → GEA752JGEC954 → HCB972JGCA873 → HE9541JHFEA53 → IEDA94JEA9652 → HE9840JIFBA53 → JFDA61JHD9641 → IID973JFCA612 → IGF962JGDA432 → HGDC93JFA7633 → GED962JGDA654 → HCB873JFCB873 → GE8542JGFEB54 → HCCA95JDA9773 ⮌ |
| 14 | 5 cycles | 40 nodes | ⮎ A877310IIGCCBA → IHD552JJGEE622 → HHGCB80IB87323 → IFED532GGE6542 → GEDB996CAA8654 → C976310IIGDCA8 → IHD7540IFEC622 → IGFB974ECA8432 → GDBA530IGE9864 → IDC9730IGCA762 → IGD7550IEEC632 → IGD9974ECAA632 → GDA7510IIEC964 → IHC9750IECA722 → IGF9550IEEA432 → IGDB990IAA8632 → IGD7310IIGC632 → IHGDD74EC66322 → GFDA774ECC9644 → CBA7550IEEC988 → I995430IGFEAA2 → IGDB910IIA8632 → IHGD730IGC6322 → IGFDD74EC66432 → GDBA774ECC9864 → CA75530IGEEC98 → ID99540IFEAA62 → IGB9710IICA832 → IHGD530IGE6322 → IGFDD96CA66432 → GDB7760IDCC864 → IC77552GEECC72 → GE99554EEEAA54 → CA99910IIAAA98 → IH41110IIIIF22 → IHHHGFA8432222 → GFFFDB1H864444 → GCBBB72GC88874 → EC55332GGGEE76 → EDD9984EBAA666 ⮌ |
| 15 | 3 cycles | 30 nodes | ⮎ GEA8531JHGEB954 → IECB961JHDA8752 → IGC8641JHFDB732 → IGEC963JFDA7532 → HFDA862JGDB9643 → HEC9751JHECA753 → IEC9752JGECA752 → HGB9752JGECA833 → HEDB741JHFC8653 → IEDA863JFDB9652 → HFA8751JHECB943 → IEDA741JHFC9652 → IGDA862JGDB9632 → HGDA751JHEC9633 → IEEB862JGDB8552 → HGB9852JGEBA833 → HEDB631JHGD8653 → IEEB874JECB8552 → HE99742JGFCAA53 → HECA730JIGC9753 → JFEB752JGEC8541 → IHCA973JFCA9722 → HGE8530JIGEB533 → JFEDB95JDA86541 → IFA9751JHECA942 → IGDA730JIGC9632 → JGFDA62JGD96431 → IHDC973JFCA7622 → HGE9652JGEDA533 → HEDB983JFBA8653 ⮌ |
| 16 | 5 cycles | 138 nodes | ⮎ CA995530IGEEAA98 → ID994110IIIFAA62 → IHHGB710IIC83222 → IHGFFD52GE644322 → GFEDBB96CA886544 → CB976330IGGDCA88 → IDD75430IGFEC662 → IGDB9774ECCA8632 → GDA75530IGEEC964 → IDC99750IECAA762 → IG975510IIEECA32 → IHGD9950IEAA6322 → IGFD9710IICA6432 → IHGDB750IEC86322 → IGFD9752GECA6432 → GEDB9750IECA8654 → IC997530IGECAA72 → IGD95510IIEEA632 → IHGD9970ICAA6322 → IGFD7510IIEC6432 → IHGDB974ECA86322 → GFDA7530IGEC9644 → IDCB9750IECA8762 → IG975530IGEECA32 → IGDD9950IEAA6632 → IGD97710IICCA632 → IHGD7550IEEC6322 → IGFD9974ECAA6432 → GDBA7510IIEC9864 → IHC97530IGECA722 → IGFD9550IEEA6432 → IGDB9970ICAA8632 → IGD75310IIGEC632 → IHGDD974ECA66322 → GFDA7750IECC9644 → ICB97550IEECA872 → IG995530IGEEAA32 → IGDD9910IIAA6632 → IHGD7710IICC6322 → IHGFD754EEC64322 → GFDBA974ECA98644 → CBA75310IIGEC988 → IHD95430IGFEA622 → IGFDB970ICA86432 → IGDB7530IGEC8632 → IGDD9752GECA6632 → GED97750IECCA654 → IC997550IEECAA72 → IG995510IIEEAA32 → IHGD9910IIAA6322 → IHGFD710IIC64322 → IHGFDB74EC864322 → GFDBA752GEC98644 → ECB97530IGECA876 → ID985530IGEEBA62 → IGD99730IGCAA632 → IGDD7510IIEC6632 → IHGD9774ECCA6322 → GFDA7550IEEC9644 → ICB99750IECAA872 → IG955310IIGEEA32 → IHGDD990IAA66322 → IGFD7710IICC6432 → IHGDB754EEC86322 → GFDA9752GECA9644 → ECB97510IIECA876 → IH985530IGEEBA22 → IGFD9930IGAA6432 → IGDDB710IIC86632 → IHGD7752GECC6322 → GFED9754EECA6544 → CBA99750IECAA988 → I9543110IIIGFEA2 → IHHGDB90IA863222 → IGFFD730IGC64432 → IGDDBB74EC886632 → GDA77532GGECC964 → EDC97550IEECA766 → I9987550IEECBAA2 → IG995310IIGEAA32 → IHGDD910IIA66322 → IHGFD770ICC64322 → IGFDB754EEC86432 → GDBA9752GECA9864 → EC975310IIGECA76 → IHD98550IEEBA622 → IGF99730IGCAA432 → IGDDB510IIE86632 → IHGD9772GCCA6322 → GFED7550IEEC6544 → ICB99974ECAAA872 → GA553110IIIGEE94 → IHHDC990IAA76222 → IGFF7510IIEC4432 → IHGDBB94EA886322 → GFDA7330IGGC9644 → IDDCB750IEC87662 → IG977552GEECCA32 → GED99550IEEAA654 → IC999710IICAAA72 → IHG55110IIIEE322 → IHHGFD98AA643222 → GFFDB720IHC86444 → IFCBB752GEC88742 → GEB95532GGEEA854 → EDC99930IGAAA766 → ID875110IIIECB62 → IHHG9752GECA3222 → GFFED950IEA65444 → ICBB9970ICAA8872 → IG553310IIGGEE32 → IHGDDD98AA666322 → GFD77720IHCCC644 → IFCB7554EEEC8742 → GBA99552GEEAA984 → EC993110IIIGAA76 → IHHD8510IIEB6222 → IHGFF972GCA44322 → GFEDBB50IE886544 → ICB99732GGCAA872 → GED55310IIGEE654 → IHDC9996CAAA7622 → GF765110IIIEDC44 → IHHCB974ECA87222 → GFFA5530IGEE9444 → IDCBB990IAA88762 → IG753310IIGGEC32 → IHGDDD94EA666322 → GFDA7770ICCC9644 → ICB75550IEEEC872 → IG999552GEEAAA32 → GED99110IIIAA654 → IHHC9710IICA7222 → IHGFF550IEE44322 → IGFDBB98AA886432 → GDB73320IHGGC864 → IFDDC752GEC76642 → GEB97754EECCA854 ⮌ |
| 17 | 4 cycles | 31 nodes | ⮎ HEDA6431JHGFD9653 → IEECA873JFCB97552 → HFA97541JHFECA943 → IEDBA730JIGC98652 → JGFB8641JHFDB8431 → IIECB952JGEA87512 → IGGB9741JHFCA8332 → IGEDC841JHFB76532 → IGECA863JFDB97532 → HFDA8641JHFDB9643 → IEDB9751JHECA8652 → IGC98641JHFDBA732 → IGEC9641JHFDA7532 → IGECA862JGDB97532 → HGDB8641JHFDB8633 → IEEC9752JGECA7552 → HGB99752JGECAA833 → HEDB7420JIHFC8653 → JGEDA863JFDB96531 → IGDA8751JHECB9632 → IGEB8641JHFDB8532 → IGECA852JGEB97532 → HGDB9741JHFCA8633 → IEEC9641JHFDA7552 → IGDA9862JGDBA9632 → HGDA7520JIHEC9633 → JGEEB862JGDB85531 → IHDB9852JGEBA8622 → HGFB8531JHGEB8433 → IEEDCA62JGD976552 → HGB98762JGDCBA833 ⮌ |