| 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 | 6 nodes | ⮎ 1N → L3 → H7 → 9F → 5J → DB ⮌ |
| 3 | 1 cycle | 2 nodes | ⮎ BOD → COC ⮌ |
| 4 | 8 cycles | 10 nodes | ⮎ 90NG → N6H2 → LAD4 → H2L8 → J8F6 → D6HC → B0NE → N2L2 → LI54 → HCB8 ⮌ |
| 5 | 2 cycles | 4 nodes | ⮎ G7OG9 → H6OH8 → I8OF7 → H9OE8 ⮌ |
| 6 | 5 cycles | 12 nodes | ⮎ 74OOJI → KH0N75 → NF9E92 → L64JI4 → HFBC98 → 960NIG → NC6HC2 → LAOOD4 → KE7GA5 → F93KFA → H64JI8 → FC8FCA ⮌ |
| 7 | 3 cycles | 4 nodes | ⮎ HB4OJD8 → KB5OID5 → JF6OH96 → ID7OGB7 ⮌ |
| 8 | 5 cycles | 10 nodes | ⮎ D95OOIFC → JF61MI96 → LDC5ICB4 → HD1OOMB8 → NGB3KD82 → LH81MG74 → LHA7GE74 → HA93KFE8 → H963KIF8 → HC95IFC8 ⮌ |
| 9 | 4 cycles | 22 nodes | ⮎ JD93OKFB6 → LEA3OKEA4 → LHA3OKE74 → LHD6OHB74 → KFA5OIE95 → JF94OJF96 → KDA5OIEB5 → JF82OLG96 → MFB6OHD93 → LG83OKG84 → LHC7OGC74 → KEA3OKEA5 → LFA3OKE94 → LHB4OJD74 → KHC5OIC75 → JFB4OJD96 → KDA3OKEB5 → LFA2OLE94 → MHC4OJC73 → LIC4OJC64 → KHD5OIB75 → JFB5OID96 ⮌ |
| 10 | 4 cycles | 36 nodes | ⮎ A881OOMGGF → NGE60NIA82 → NLC83KGC32 → LIH7OOG764 → KIEB0NDA65 → NFC41MKC92 → MKG5OOI843 → LKHC1MC744 → LHG9OOE874 → KHD81MGB75 → LFA81MGE94 → LH863KIG74 → IGCA7GEC87 → B983OOKGFE → LGB50NJD84 → NHE81MGA72 → MKA83KGE43 → JHG83KG876 → HDA87GGEB8 → A8841MKGGF → LG884JGG84 → HF887GGG98 → A8885IGGGF → D8884JGGGC → F8880NGGGA → N8884JGGG2 → LF887GGG94 → H9885IGGF8 → D9885IGGFC → D8860NIGGC → NC880NGGC2 → NL87OOGG32 → MLGCOOB833 → LLEA3KEA34 → IIG43KK867 → HGCB7GDC88 ⮌ |
| 11 | 3 cycles | 4 nodes | ⮎ KF853OKJG95 → LFFB6OHD994 → KF863OKIG95 → LFEA6OHEA94 ⮌ |
| 12 | 6 cycles | 11 nodes | ⮎ DA987OOGGFEC → HG7630NLIH88 → NICA97GFEC62 → LC963OOKIFC4 → LKFB62LID944 → JHGC61MIC876 → LDCA7OOGECB4 → KHB520NMJD75 → NKFEA1MEA942 → MKG643KKI843 → JHGGC7GC8876 ⮌ |
| 13 | 2 cycles | 48 nodes | ⮎ KFC742OLKHC95 → MHFD82OLGB973 → MJE973OKHFA53 → LJFC84OJGC954 → KHEB72OLHDA75 → MGDA72OLHEB83 → MJE962OLIFA53 → MJGD94OJFB853 → LIEB73OKHDA64 → LHEB72OLHDA74 → MHEA72OLHEA73 → MJEA73OKHEA53 → LJFC73OKHC954 → LHFC82OLGC974 → MHE972OLHFA73 → MJEA84OJGEA53 → LIEB63OKIDA64 → LHEC82OLGCA74 → MHE961OMIFA73 → NJGB84OJGD852 → MJEB84OJGDA53 → LIEB62OLIDA64 → MHFC82OLGC973 → MJE972OLHFA53 → MJGC84OJGC853 → LIEB83OKGDA64 → LHEA62OLIEA74 → MHFB73OKHD973 → LJDA83OKGEB54 → LHFB62OLID974 → MHFB83OKGD973 → LJD973OKHFB54 → LHFC83OKGC974 → LHD972OLHFB74 → MHEA83OKGEA73 → LJD963OKIFB54 → LHFD93OKFB974 → LHD863OKIGB74 → LHEB94OJFDA74 → KHC852OLJGC75 → MGFC93OKFC983 → LJC762OLIHC54 → MHGDB4OJDB873 → LIC951OMJFC64 → NIGD92OLFB862 → MLFA73OKHE933 → LJID84OJGB654 → KHEDA4OJEBA75 ⮌ |
| 14 | 6 cycles | 22 nodes | ⮎ A888841MKGGGGF → LG88884JGGGG84 → HF88887GGGGG98 → A888885IGGGGGF → D888884JGGGGGC → F888880NGGGGGA → N888884JGGGGG2 → LF88887GGGGG94 → H988885IGGGGF8 → D988885IGGGGFC → D888860NIGGGGC → NC88880NGGGGC2 → NL8887OOGGGG32 → MLGD87OOGGB833 → LLFD852LJGB934 → JIHE861MIGA766 → LDCCA83KGECCB4 → IG841OOOOMKG87 → NKHGE41MKA8742 → MKGGA83KGE8843 → JHG8883KGGG876 → HDA8887GGGGEB8 ⮌ |