| 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 | 2 cycles | 10 nodes | ⮎ 0N → M1 → K3 → G7 → 8F → 6H → AD → 2L → I5 → CB ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ BNC ⮌ |
| 4 | 1 cycle | 12 nodes | ⮎ 7NNG → G6G8 → A7FE → 83JG → G7F8 → 96GF → A5HE → C3JC → FNN8 → F7F9 → 85HG → C7FC ⮌ |
| 5 | 2 cycles | 2 nodes | ⮎ CANCC → CNNNB ⮌ |
| 6 | 5 cycles | 25 nodes | ⮎ 86NNGG → HENN87 → GF2K88 → I86GF6 → CA6GDC → A2NNKE → LD5HA3 → IC2KB6 → IC0MB6 → MC0MB2 → MK0M32 → MKG632 → KH9D64 → GB3JC8 → G80MF8 → M86GF2 → KA6GD4 → GA2KD8 → I82KF6 → IC6GB6 → CA0MDC → M2NNK2 → LL1L23 → KJH544 → GFBB88 ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ HA4NID7 → JB6NGC5 → ID4NIA6 → JC7NFB5 → IC3NJB6 → KD6NGA4 → JE5NH95 → IE7NF96 → HB5NHC7 → IA5NHD6 → IC6NGB6 → HC4NIB7 → JB5NHC5 → IE5NH96 → IC7NFB6 → HB3NJC7 → KC5NHB4 → JF5NH85 → IE8NE96 ⮌ |
| 8 | 3 cycles | 23 nodes | ⮎ E742KJGA → IF93JE86 → GC74IGB8 → E980MFEA → M753JIG2 → KGD8EA74 → G962KHE8 → IB84IFC6 → EC70MGBA → M940MJE2 → MKF4I832 → KHE6G964 → GBA4IDC8 → E830MKFA → MH73JG62 → KGB8EC74 → G960MHE8 → MB84IFC2 → KE70MG94 → MG94IE72 → KE94IE94 → GE54II98 → ED84IFAA ⮌ |
| 9 | 4 cycles | 27 nodes | ⮎ IC83NJFB6 → KDA3NJDA4 → KG92NKE74 → LGD6NGA73 → KF95NHE84 → JF95NHE85 → IE95NHE96 → IC84NIFB6 → JCA3NJDB5 → KE91NLE94 → MHB4NIC62 → LIC5NHB53 → KGD5NHA74 → JFA5NHD85 → IE94NIE96 → JC94NIEB5 → JE92NKE95 → LFA4NID83 → KHA4NID64 → JGC6NGB75 → ID94NIEA6 → JC93NJEB5 → KEA2NKD94 → LGB3NJC73 → KIC4NIB54 → JGD6NGA75 → ID95NHEA6 ⮌ |
| 10 | 5 cycles | 81 nodes | ⮎ 87430MKJGG → MHF97FE862 → KB874IGFC4 → GE970MGE98 → M9854IIFE2 → KED74IGA94 → GE952KIE98 → ID854IIFA6 → EDC72KGBAA → I9430MKJE6 → MHFC4IB862 → KEB70MGC94 → MG950MIE72 → MKD94IEA32 → KHE52KI964 → IGDB4ICA76 → EC930MKEBA → MH540MJI62 → MKFDACA832 → KH731LKG64 → KHGB8EC764 → GB960MHEC8 → MB850MIFC2 → MKD70MGA32 → MKH92KE632 → KIHB4IC654 → GEDB0MCA98 → M8530MKIF2 → MKHD6GA632 → KHBA2KDC64 → IGB30MKC76 → MHC90MEB62 → MKB50MIC32 → MKHD0MA632 → MKHB2KC632 → KIHB0MC654 → MGDB0MCA72 → MK930MKE32 → MKHH4I6632 → KHEBACC964 → GB520MLIC8 → MJD80MFA42 → MKF72KG832 → KIH96GE654 → GDBA4IDCA8 → E8330MKKFA → MHH73JG662 → KGBB8ECC74 → G9610MMHE8 → MLB84IFC22 → KJE70MG944 → MGF94IE872 → KE974IGE94 → GE954IIE98 → ED854IIFAA → ED742KJGAA → IF942KJE86 → IFC74IGB86 → EC970MGEBA → M9540MJIE2 → MKFD4IA832 → KHE72KG964 → IGB94IEC76 → EC950MIEBA → MD540MJIA2 → MKFD2KA832 → KIH72KG654 → IGDB8ECA76 → C9630MKHEC → MHB4NNIC62 → LJG74IG743 → IFE98EE986 → C7654IIHGC → EDB8NNECAA → FD430MKJA9 → MHF62KH862 → KIBB6GCC54 → GDA10MMDA8 → ML832KKF22 → KJIH6G6544 → GFDB9DCA88 ⮌ |
| 11 | 4 cycles | 16 nodes | ⮎ JE961NLHE95 → MGD84NIFA72 → LIB84NIFC53 → KHDA3NJDA64 → KGD72NKGA74 → LGD95NHEA73 → KGA73NJGD74 → KGC95NHEB74 → JFA72NKGD85 → LFC84NIFB83 → KHA73NJGD64 → KGDA5NHDA74 → JFA62NKHD85 → LFD94NIEA83 → KHA63NJHD64 → KGDB6NGCA74 ⮌ |
| 12 | 3 cycles | 133 nodes | ⮎ CB9331LKKECC → KHH50NNMI664 → NJHEBNNB9641 → MJHA62KHD642 → KIFBB2KCC854 → IGD710MMGA76 → MLC992KEEB22 → KJI550MII544 → MGFDDCAAA872 → K97331LKKGE4 → KHHG94IE7664 → GEBB94IECC98 → E85510MMIIFA → MLDD73JGAA22 → KJG932KKE744 → IHGF94IE8766 → ECB974IGECBA → E95410MMJIEA → MLFD53JIA822 → KJGD72KGA744 → IGF992KEE876 → IC9754IIGEB6 → EDC950MIEBAA → MD5430MKJIA2 → MKHFD2KA8632 → KIHB72KGC654 → IGDB90MECA76 → MC9530MKIEB2 → MKHD50MIA632 → MKHDB2KCA632 → KIHB30MKC654 → MHGDB0MCA762 → MKB930MKEC32 → MKHH50MI6632 → MKHDBACCA632 → KHB320MLKC64 → MJHGB0MC7642 → MKFB90MEC832 → MKH750MIG632 → MKHDB8ECA632 → KHB630MKHC64 → MHGBB0MCC762 → MKB910MMEC32 → MLKH50MI6322 → MKJHDACA6432 → KHFB31LKC864 → KHGB70MGC764 → MGB990MEEC72 → MK9550MIIE32 → MKHDD4IAA632 → KHEB32KKC964 → IHGB50MIC766 → MDCB90MECBA2 → MK5310MMKI32 → MLKHHCA66322 → KJHBB1LCC644 → KGFB10MMC874 → MLG970MGE722 → MKJ994IEE432 → KHFE54II9864 → GEDB74IGCA98 → E98530MKIFEA → MHD753JIGA62 → KGDB92KECA74 → IG9530MKIE76 → MHDC94IEBA62 → KEB530MKIC94 → MHGD50MIA762 → MKDB92KECA32 → KIH530MKI654 → MHGDDACAA762 → KB9331LKKEC4 → KHHG50MI7664 → MGDBB8ECCA72 → K96310MMKHE4 → MLHGB4IC7622 → KJEB90MEC944 → MGF550MII872 → MKDD96GEAA32 → KHA532KKID64 → IHGDB2KCA766 → ICB930MKECB6 → MHC510MMIB62 → MLKDB0MCA322 → MKJH30MK6432 → MKHHFAC86632 → KHBB71LGCC64 → KGB910MMEC74 → MLG950MIE722 → MKJD94IEA432 → KHFE52KI9864 → IGDB74IGCA76 → EC9930MKEEBA → MH5540MJII62 → MKFDDACAA832 → KH7331LKKG64 → KHHGB8EC7664 → GBB960MHECC8 → MB8510MMIFC2 → MLKD70MGA322 → MKJH92KE6432 → KIHFB4IC8654 → GEDB70MGCA98 → M98530MKIFE2 → MKHD74IGA632 → KHEB92KEC964 → IGB550MIIC76 → MDDC90MEBAA2 → MK5330MKKI32 → MKHHHCA66632 → KHBBB1LCCC64 → KGB110MMMC74 → MLLG90ME7222 → MKJJ94IE4432 → KHFFE4I98864 → GEB774IGGC98 → E99850MIFEEA → MD7553JIIGA2 → KGDD92KEAA74 → IG9532KKIE76 → IHDC94IEBA66 → ECB530MKICBA → MHD410MMJA62 → MLKFB2KC8322 → KJIH70MG6544 → MGFDB8ECA872 → K97630MKHGE4 → MHGB94IEC762 → KEB950MIEC94 → MGD550MIIA72 → MKDD92KEAA32 → KIH532KKI654 → IHGDDACAA766 ⮌ |
| 13 | 6 cycles | 18 nodes | ⮎ JEB631NLKHC95 → MIFD82NKFA852 → LKFA74NIGD833 → KIGB84NIFC754 → JGDB83NJFCA75 → KEC851NLIFB94 → MHFA62NKHD862 → LKEB94NIEC933 → KIG952NKIE754 → LGFDB6NGCA873 → KF9851NLIFE84 → MHFA75NHGD862 → LHBA84NIFDC63 → KHC951NLIEB64 → MHFC82NKFB862 → LKE973NJGE933 → KIHC74NIGB654 → JGDCA4NIDBA75 ⮌ |
| 14 | 13 cycles | 35 nodes | ⮎ IGD9510MMIEA76 → MLDC952KIEBA22 → KJID530MKIA544 → MHGFDD2KAA8762 → KIB9732KKGEC54 → IHGD950MIEA766 → MDCB952KIECBA2 → KID5310MMKIA54 → MLHGDD2KAA7622 → KJIB932KKEC544 → IHGFD50MIA8766 → MDCB972KGECBA2 → KI95310MMKIE54 → MLHGDD4IAA7622 → KJEB932KKEC944 → IHGF550MII8766 → MDDCB96GECBAA2 → KA53310MMKKID4 → MLHHGD2KA76622 → KJIBB92KECC544 → IGFD510MMIA876 → MLDC972KGEBA22 → KJI9530MKIE544 → MHGFDD4IAA8762 → KEB9732KKGEC94 → IHG9550MIIE766 → MDDCB94IECBAA2 → KE53310MMKKI94 → MLHHGD4IA76622 → KJEBB92KECC944 → IGF5510MMII876 → MLDDC96GEBAA22 → KJA5330MKKID44 → MHHGFD2KA87662 → KIBB972KGECC54 ⮌ |