| 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 |
| W | X | Y | Z | a | b | c | d | e | f | g | h | i | j | k | l |
| 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 | 12 nodes | ⮎ 0X → W1 → U3 → Q7 → IF → 2V → S5 → MB → AN → CL → 8P → GH ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ GXH ⮌ |
| 4 | 8 cycles | 4 nodes | ⮎ I5RG → M1VC → U9N4 → QDJ8 ⮌ |
| 5 | 3 cycles | 4 nodes | ⮎ MAXMC → N9XNB → OBXLA → NCXKB ⮌ |
| 6 | 6 cycles | 46 nodes | ⮎ 750WSR → WNJDA2 → UD5RK4 → QM6QB8 → KIAMFE → C62URM → SL9NC6 → ME8OJC → GA4SNI → OD1VKA → UE6QJ4 → QK4SD8 → OI6QFA → KE2UJE → S64SR6 → OMKCBA → EB7PMK → IB5RMG → MB1VMC → UB9NM4 → QEAMJ8 → IC4SLG → O91VOA → UFDJI4 → Q62UR8 → SLHFC6 → M91VOC → UF9NI4 → QE2UJ8 → SI4SF6 → OM2UBA → SEAMJ6 → MC4SLC → OA8ONA → GECKJI → 851VSQ → UNHFA4 → QD1VK8 → UI6QF4 → QK2UD8 → SI6QF6 → MK2UDC → SA6QN6 → MKCKDC → A86QPO → KHDJGE ⮌ |
| 7 | 1 cycle | 4 nodes | ⮎ PG6XQH9 → RH8XOG7 → QJ7XPE8 → QIAXMF8 ⮌ |
| 8 | 9 cycles | 14 nodes | ⮎ IDA0WNKG → WD71VQK2 → VTJ6QE43 → SPK4SD86 → OMH6QGBA → KEB0WMJE → WB64SRM2 → UOLAMC94 → QFC8OLI8 → IG92UOHG → SF20WVI6 → WTM2UB42 → USPAM854 → QNHBLGA8 ⮌ |
| 9 | 4 cycles | 23 nodes | ⮎ QKC4XSLD8 → TKE7XPJD5 → SMC5XRLB6 → SMG9XNHB6 → RJC5XRLE7 → SKF6XQID6 → RMD4XSKB7 → TLG8XOHC5 → SLC4XSLC6 → TMG8XOHB5 → SLD5XRKC6 → SMF7XPIB6 → RLE6XQJC7 → RKE6XQJD7 → RKD5XRKD7 → SKE6XQJD6 → RMD5XRKB7 → SKG8XOHD6 → RKB3XTMD7 → UMG8XOHB4 → TMD5XRKB5 → SOG8XOH96 → RKF7XPID7 ⮌ |
| 10 | 20 cycles | 54 nodes | ⮎ GE732UUQJI → SRJ51VSE66 → UNML4SCBA4 → QODB8OMK98 → IGFB6QMIHG → KB320WVUME → WTRB5RM642 → UPMLAMCB84 → QHCB8OMLG8 → IGB90WOMHG → WFB20WVMI2 → WUTB2UM432 → USRPAM8654 → QNLHBLGCA8 → IDA90WONKG → WFD71VQKI2 → VTJ72UQE43 → TRPJ4SE865 → PNLH4SGCA9 → OGD90WOKHA → WFE70WQJI2 → WUJ52USE32 → USRN4SA654 → QONLCKCA98 → IFD97POKIG → IF731VUQIG → URJ31VUE64 → URQL4SC764 → QOLJ8OEC98 → IGF94SOIHG → OF320WVUIA → WTRE2UJ642 → USPL4SC854 → QONH8OGA98 → IGFD0WKIHG → W7320WVUQ2 → WUTRIE6432 → URPL3TC864 → RPLH8OGC87 → KHG90WOHGE → WF610WWRI2 → WVUL2UC322 → UTSR8O6544 → QPNLFHCA88 → IHD91VOKGG → UF720WVQI4 → WTQJ2UE742 → USPJ4SE854 → QONH4SGA98 → OIFD0WKIFA → WE732UUQJ2 → USRJ4SE654 → QONL4SCA98 → OIFD8OKIFA ⮌ |
| 11 | 3 cycles | 50 nodes | ⮎ QKE93XTOJD8 → ULHB5XRMGC4 → TPGA4XSNH85 → TOKF6XQID95 → SNHB4XSMGA6 → TMIC5XRLFB5 → SOGA5XRNH96 → SMIE6XQJFB6 → RMF83XTPIB7 → UMJE6XQJEB4 → TOF84XSPI95 → TOKG8XOHD95 → SLFB3XTMIC6 → UNHA5XRNGA4 → TPHD6XQKG85 → SNIC3XTLFA6 → UNIB5XRMFA4 → TPHC6XQLG85 → SNID4XSKFA6 → TMIA4XSNFB5 → TOIC6XQLF95 → SNHC5XRLGA6 → SMHB4XSMGB6 → TMHB5XRMGB5 → SOGB5XRMH96 → SMID5XRKFB6 → SMG94XSOHB6 → TMJD5XRKEB5 → SOG95XROH96 → SMIF7XPIFB6 → RLE72XUQJC7 → VNKE6XQJDA3 → UPGA5XRNH84 → TPJF6XQIE85 → SNIB3XTMFA6 → UNIC6XQLFA4 → TOGB5XRMH95 → SOID5XRKF96 → SMIB4XSMFB6 → TMHB6XQMGB5 → SNFB5XRMIA6 → SMHC6XQLGB6 → RMFA4XSNIB7 → TLHC6XQLGC5 → SNE94XSOJA6 → TMJE8XOJEB5 → SLD84XSPKC6 → TMKD7XPKDB5 → SME96XQOJB6 → RMHD7XPKGB7 ⮌ |