| 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 | 9 nodes | ⮎ 0P → O1 → M3 → I7 → AF → 4L → G9 → 6J → CD ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ CPD ⮌ |
| 4 | 3 cycles | 6 nodes | ⮎ A5JG → E5JC → E1NC → M1N4 → MH74 → I9F8 ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ H7PH9 → I7PH8 → I9PF8 → H8PG9 ⮌ |
| 6 | 4 cycles | 9 nodes | ⮎ E60OJC → OD1NC2 → NL0O43 → OKG852 → MF7HA4 → IA4KF8 → GA4KFA → G64KJA → GD5JCA ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ JC4PKD7 → LD6PIC5 → KF5PJA6 → KE8PGB6 ⮌ |
| 8 | 3 cycles | 44 nodes | ⮎ A960OJGG → OD75JIC2 → MEB0OEB4 → OI32MM72 → MKJAE654 → IFD3LCA8 → IA50OKF8 → OFA4KFA2 → MG54KK94 → IGF6IA98 → CA74KIFE → GB51NKEA → MF62MJA4 → KID4KC76 → GEB0OEBA → O632MMJ2 → MKJCC654 → IFCPPCA8 → HF62MJA9 → KD84KHC6 → GE90OGBA → O762MJI2 → MKDAEC54 → IF40OLA8 → OHA4KF82 → MG94KG94 → IG76II98 → CBA6IFEE → C531NMKE → MJF1NA64 → MID4KC74 → IGB0OE98 → OA72MIF2 → MKB4KE54 → IGF2MA98 → KA74KIF6 → GEB4KEBA → G632MMJA → KJD5JC66 → FDD0OCCB → O410OOL2 → ONMG8322 → MLJ7H644 → IHD9FC88 ⮌ |
| 9 | 3 cycles | 2 nodes | ⮎ LG93PLG95 → MGC6PID94 ⮌ |
| 10 | 8 cycles | 124 nodes | ⮎ 64330OMMLK → OJJHDB8662 → MDD91NGCC4 → MI710OOI74 → ONIBAEE722 → MLB42MLE44 → KIHH2M8876 → KEB98GGEB6 → E8732MMIHC → KJB91NGE66 → MED72MICB4 → KIB30OME76 → OJEB2MEB62 → MKD32MMC54 → KJIF0OA766 → OEDB4KECB2 → MG330OMM94 → OJJI6I7662 → MDDCAEDCC4 → I4110OOOL8 → ONNH9F8222 → MLL95JG444 → IHHE6IB888 → CA992MGGFE → K7751NKII6 → MFEBAEEBA4 → I5432MMLK8 → KJHF9FA866 → ED964KJGCC → GD720ONICA → OLB60OJE42 → OMHD2MC832 → MKJ90OG654 → OIFD6ICA72 → MCB50OKED4 → OIF30OMA72 → OMJB4KE632 → MJGD2MC964 → KID70OIC76 → OEBB0OEEB2 → OM332MMM32 → MKJJI66654 → IFDDBDCCA8 → A5210OONKG → ONLF5JA422 → MLHE4KB844 → IHG92MG988 → KA976IIGF6 → ECB74KIEDC → GB320ONMEA → OLJ62MJ642 → MKHDCCC854 → IF90PPOGA8 → PHF80OHA81 → PN994KGG21 → OLG76II942 → MHCB6IED84 → IC930OMGD8 → OJA70OIF62 → OMDB4KEC32 → MJG30OM964 → OJID6IC762 → MDCB0OEDC4 → OI310OOM72 → ONMJAE6322 → MLJD3LC644 → JHHD0OC887 → OC990OGGD2 → OM770OII32 → OMJBAEE632 → MJD42MLC64 → KIHD0OC876 → OEB90OGEB2 → OM732MMI32 → MKJJAE6654 → IFDD3LCCA8 → IA510OOKF8 → ONFA4KFA22 → MLG54KK944 → IHGF6IA988 → CA974KIGFE → GB751NKIEA → MFB62MJEA4 → KID52MKC76 → KFEB0OEBA6 → OE532MMKB2 → MKJF2MA654 → KIFD4KCA76 → GEB50OKEBA → OF632MMJA2 → MKJD4KC654 → IGFD0OCA98 → OA750OKIF2 → OMFB4KEA32 → MJG52MK964 → KIFD6ICA76 → ECB50OKEDC → OF320ONMA2 → OMLJ4K6432 → MJHGCC9864 → ID96PPIGC8 → JH962MJG87 → KDC96IGDC6 → EC710OOIDC → ONB20ONE22 → OMLL2M4432 → MKJHG88654 → IFD97HGCA8 → B9750OKIGF → OFB73LIEA2 → MIB52MKE74 → KIFB2MEA76 → KEB52MKEB6 → KFE32MMBA6 → KJE52MKB66 → KFED2MCBA6 → KE530OMKB6 → OJFE2MBA62 → MKD52MKC54 → KIFF0OAA76 → OEB54KKEB2 → MGF32MMA94 → KJI74KI766 → GEDBAEECBA ⮌ |
| 11 | 4 cycles | 10 nodes | ⮎ KF963PLJGA6 → MFEA5PJFBA4 → LH953PLKG85 → MGGC7PHD994 → LF873PLIHA5 → MGEA6PIFB94 → LG963PLJG95 → MGFA6PIFA94 → LG964PKJG95 → LGEA6PIFB95 ⮌ |
| 12 | 11 cycles | 149 nodes | ⮎ C33320ONMMME → OLJJJ1N66642 → NLHDDCCCC843 → KH910PPOOG86 → POIGB0OE9711 → PNNB72MIE221 → OLLKB2ME5442 → MKHHF2MA8854 → KIF994KGGA76 → GEB774KIIEBA → GBB632MMJEEA → KJD632MMJC66 → KJEDD0OCCB66 → OED310OOMCB2 → ONMJ30OM6322 → OMLJJCC66432 → MJHDCPPCC864 → LJE750OKIB65 → OGFDB2MECA92 → MK7530OMKI54 → OJIFFAEAA762 → MDB553LKKEC4 → JHFF30OMAA87 → OJC954KKGD62 → MGFD70OICA94 → OIB750OKIE72 → OMFBB2MEEA32 → MKJ532MMK654 → KJIFFCCAA766 → EDB54PPKKECC → LK9820ONHG55 → OLGF96IGA942 → MHC774KIID84 → IGBB90OGEE98 → OA7732MMIIF2 → MKJBB4KEE654 → IGFD32MMCA98 → KJA750OKIF66 → OFEDB4KECBA2 → MG5330OMMK94 → OJJIF6IA7662 → MDDCB4KEDCC4 → IG3110OOOM98 → ONNJA6IF6222 → MLLDC4KDC444 → IHHG10OO9888 → ONA996IGGF22 → MLC774KIID44 → IHGBB0OEE988 → OA9732MMIGF2 → MKJB74KIE654 → IGFDB2MECA98 → KA7530OMKIF6 → OJFEB4KEBA62 → MGD532MMKC94 → KJIF70OIA766 → OEDBB4KEECB2 → MG3330OMMM94 → OJJJI6I76662 → MDDDCAEDCCC4 → I41110OOOOL8 → ONNNH9F82222 → MLLL95JG4444 → IHHHE6IB8888 → CA9992MGGGFE → K77751NKIII6 → MFEBBAEEEBA4 → I54332MMMLK8 → KJJHF9FA8666 → EDD964KJGCCC → GD7210OONICA → ONLB60OJE422 → OMLHD2MC8432 → MKJH90OG8654 → OIFD96IGCA72 → MCB750OKIED4 → OIFB30OMEA72 → OMJB52MKE632 → MKJFD2MCA654 → KIFD50OKCA76 → OFEB50OKEBA2 → OMF532MMKA32 → MKJJF4KA6654 → IGFDD4KCCA98 → GA7510OOKIFA → ONFB64KJEA22 → MLGD52MKC944 → KIHF70OIA876 → OEBB94KGEEB2 → MG7332MMMI94 → KJJIB6IE7666 → EDDCB2MEDCCC → K32110OOONM6 → ONNLJDB64222 → MLLHD1NC8444 → MIHH90OG8874 → OIB996IGGE72 → MCB772MIIED4 → KIBB30OMEE76 → OJEB32MMEB62 → MKJD32MMC654 → KJIFD0OCA766 → OEDB50OKECB2 → OMF330OMMA32 → OMJJJ4K66632 → MJGDDCCCC964 → ID710PPOOIC8 → POHG64KJ9811 → ONGD96IGC922 → MLC770OIID44 → OIHBB0OEE872 → OMB932MMGE32 → MKJJ72MI6654 → KIFDDAECCA76 → EB5410OOLKEC → ONHF31NMA822 → NLLJ94KG6443 → KHHGD6IC9886 → EC9970OIGGDC → OB7720ONIIE2 → OMLBB2MEE432 → MKJH32MM8654 → KJIFD8GCA766 → EDB850OKHECC → OF9320ONMGA2 → OMLJ74KI6432 → MJHGDAEC9864 → ID9740OLIGC8 → OHBA70OIFE82 → OMB952MKGE32 → MKJF72MIA654 → KIFDB4KECA76 → GEB530OMKEBA → OJF632MMJA62 → MKJDD4KCC654 → IGFD10OOCA98 → ONA750OKIF22 → OMLFB4KEA432 → MJHG52MK9864 → KIFD96IGCA76 → ECB750OKIEDC → OFB320ONMEA2 → OMLJ52MK6432 → MKJHFCCA8654 → IFD94PPKGCA8 → LHB841NLHE85 → MHG992MGG984 → KI9776IIIG76 → ECBBB6IEEEDC ⮌ |
| 13 | 6 cycles | 19 nodes | ⮎ LHFA73PLIFA85 → MGEA74PKIFB94 → LID963PLJGC75 → MGFC93PLGDA94 → MIC762PMJID74 → NIGCB5PJED973 → MIC951PNKGD74 → OJHD93PLGC862 → NLFB83PLHEA43 → MKHD73PLIC854 → MIGDA4PKFC974 → LID962PMJGC75 → NHFC93PLGDA83 → MKD862PMJHC54 → NIHEB4PKEB873 → MJDA62PMJFC64 → NIGD92PMGC973 → NKF973PLIGA53 → MKGD95PJGC954 ⮌ |