| 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 | 1 cycle | 18 nodes | ⮎ 0Z → Y1 → W3 → S7 → KF → 4V → Q9 → GJ → 2X → U5 → OB → CN → AP → EL → 6T → MD → 8R → IH ⮌ |
| 3 | 1 cycle | (fixed) 1 node | ⮎ HZI ⮌ |
| 4 | 2 cycles | 3 nodes | ⮎ K3VG → S3V8 → SJF8 ⮌ |
| 5 | 2 cycles | 2 nodes | ⮎ IGZII → IZZZH ⮌ |
| 6 | 5 cycles | 111 nodes | ⮎ A42WVQ → URFJ86 → OJ3VGC → SC2WN8 → UKAOF6 → OE4ULC → QC6SNA → MGAOJE → E82WRM → UJ7RG6 → OK2WFC → UC4UN6 → QOAOBA → GECMLK → A73VSQ → SLFJE8 → K73VSG → SL3VE8 → SK6SF8 → MK4UFE → Q84URA → QJFJGA → G42WVK → UR3V86 → SOIGB8 → KD1XMG → W93VQ4 → TRGI87 → MJ1XGE → W82WR4 → USIG76 → OL1XEC → WC6SN4 → SMAOD8 → KE8QLG → I73VSI → SKZZE8 → RL7RE9 → KI6SHG → M40YVE → YR7R82 → WKIGF4 → S51XU8 → WPJFA4 → SF3VK8 → SK4UF8 → QK4UFA → QG4UJA → QG2WJA → UG2WJ6 → UO2WB6 → UOCMB6 → OD9PMC → GC8QNK → IB3VOI → SCZZM8 → RN5TC9 → OIAOHC → EC0YNM → YB7RO2 → WKCMF4 → SA4UP8 → QKEKFA → G64UTK → QN3VCA → SGAOJ8 → KE2WLG → U73VS6 → SOKEB8 → KD5TMG → O93VQC → SHBNI8 → KC0YNG → YB3VO2 → WSCM74 → SL9PE8 → KG6SJG → M42WVE → UR7R86 → OKIGFC → C51XUO → WPBNA4 → SFBNK8 → KC4UNG → QB3VOA → SGCMJ8 → KA2WPG → UF3VK6 → SO4UB8 → QKCMFA → GA4UPK → QF3VKA → SG4UJ8 → QK2WFA → UG4UJ6 → QO2WBA → UGCMJ6 → OA2WPC → UFBNK6 → OC4UNC → QCAONA → GEAOLK → E73VSM → SL7RE8 → LJ6SGF → M62WTE → UN7RC6 → OKAOFC → EC4UNM → QB7ROA → KGCMJG ⮌ |
| 7 | 2 cycles | 19 nodes | ⮎ QG7ZRJA → SH9ZPI8 → RJ7ZRG9 → SIAZOH8 → RI6ZSH9 → TJ9ZPG7 → SK8ZQF8 → RKAZOF9 → QH8ZQIA → RG8ZQJ9 → RI9ZPH9 → QI7ZRHA → SH8ZQI8 → RK8ZQF9 → RIAZOH9 → QH6ZSIA → TI8ZQH7 → SL8ZQE8 → RKBZNF9 ⮌ |
| 8 | 5 cycles | 85 nodes | ⮎ C971XSQO → WLHBNIE4 → SC70YSN8 → YLKAOFE2 → WE74USL4 → SQL6SE98 → MKH6SIFE → M850YURE → YPJ7RGA2 → WKF2WKF4 → US54UU76 → QPOKEBAA → GFD5TMKK → O953VUQC → SPHBNIA8 → KFC0YNKG → YB53VUO2 → WSPCMA74 → SLF9PKE8 → KG74USJG → QL42WVEA → URG6SJ86 → OMJ2WGDC → UC92WQN6 → UOHAOIB6 → OED0YMLC → YC96SQN2 → WMHAOID4 → SE90YQL8 → YKH6SIF2 → WM50YUD4 → YSP8QA72 → WLIEKHE4 → S760YTS8 → YNLJFEC2 → WB73VSO4 → TRLCME87 → MJA6SPGE → MF82WRKE → UJ84URG6 → QOJ2WGBA → UGD2WMJ6 → UO92WQB6 → UOHCMIB6 → ODA0YPMC → YFC8QNK2 → WIB4UOH4 → SQD0YM98 → YKH8QIF2 → WI50YUH4 → YSP0YA72 → YWLEKE32 → WT75TS64 → SONKECB8 → KDB5TOMG → OD93VQMC → SHC8QNI8 → KIB0YOHG → YD40YVM2 → YWR8Q832 → WTJHHG64 → SN2ZZWC8 → XRK4UF83 → UQJ4UG96 → QOH2WIBA → UGD0YMJ6 → YO92WQB2 → WUHCMI54 → SPA0YPA8 → YKFEKKF2 → W654UUT4 → SQPMCA98 → KHF9PKIG → G540YVUK → YRP3VA82 → WSJEKG74 → SL62WTE8 → UNK6SFC6 → OMB4UODC → QDC8QNMA → IGB8QOJI → ID2ZZWMI → XME3VLD3 → US96SQ76 → OMLGIEDC ⮌ |
| 9 | 5 cycles | 9 nodes | ⮎ SMC4ZUND8 → VMG9ZPJD5 → UMC5ZTND6 → UOH9ZPIB6 → TLE6ZSLE7 → TME6ZSLD7 → TMF7ZRKD7 → SME6ZSLD8 → TKF7ZRKF7 ⮌ |
| 10 | 5 cycles | 163 nodes | ⮎ 65210YYXUU → YXVPNBA422 → WVRFBNK844 → SRJC4UNG88 → QKJB2WOGFA → UGD52WUMJ6 → UPO92WQBA6 → UOHFCMKIB6 → ODA50YUPMC → YPFC8QNKA2 → WIFB4UOKH4 → SQD50YUM98 → YPKH8QIFA2 → WIF50YUKH4 → YSP50YUA72 → YWPLEKEA32 → WTF75TSK64 → SONL4UECB8 → QKDB6SOMFA → MGD94UQMJE → QH982WRQIA → UJHG0YJIG6 → YO330YWWB2 → YWTTCM6632 → WTNN9PCC64 → SNGBAOOJC8 → KEDB2WOMLG → UD973VSQM6 → SOLH8QIEB8 → KID70YSMHG → YL940YVQE2 → YWRH6SI832 → WTMJ0YGD64 → YSN92WQC72 → WULHAOIE54 → SPE70YSLA8 → YLKF6SKFE2 → WM754UUSD4 → SQPL8QEA98 → KIHF6SKIHG → M5410YYVUE → YXRP7RA822 → WVKJEKGF44 → SR652WUT88 → UPNKIGFCA6 → OFB51XUOKC → WPDC4UNMA4 → SQFB8QOK98 → KIHD4UMIHG → Q9410YYVQA → YXRHFJI822 → WVJ40YVG44 → YSRR2W8872 → WULJIGGE54 → SP731XWSA8 → WTLKEKFE64 → SN764UTSC8 → QNLKAOFECA → GEB74USOLK → QLD73VSMEA → SLG96SQJE8 → MKH72WSIFE → UL850YURE6 → YPOJ6SGBA2 → WMFD2WMKD4 → US994UQQ76 → QOLHGIIEBA → GD720YXSMK → YVL93VQE42 → WSRH6SI874 → SMLJ0YGED8 → YK972WSQF2 → WULH4UIE54 → SQP70YSA98 → YLKHEKIFE2 → W7650YUTS4 → YSPNKECA72 → WLFB5TOKE4 → SOD74USMB8 → QLKD8QMFEA → IG974USQJI → QLH2ZZWIEA → XPI92WQHA3 → VTHF0YKI65 → YQN50YUC92 → YWPHAOIA32 → WTFE0YLK64 → YSN74USC72 → WQLLAOEE94 → SHE76SSLI8 → MLK70YSFEE → YL874USRE2 → WQLJ6SGE94 → SMH72WSID8 → ULK90YQFE6 → YOH74USIB2 → WQLD0YME94 → YSH96SQI72 → WMLH0YIED4 → YS970YSQ72 → YWLLGIEE32 → WT771XSS64 → WSNLKEEC74 → SLB75TSOE8 → OLKD6SMFEC → MC974USQNE → QLHB7ROIEA → KGD70YSMJG → YL942WVQE2 → WURH6SI854 → SPMJ0YGDA8 → YKF92WQKF2 → WUH54UUI54 → SQPP0YAA98 → YKHFEKKIF2 → W6550YUUT4 → YSPPMCAA72 → WLFF9PKKE4 → SG754UUSJ8 → QPLK2WFEAA → UGF74USKJ6 → QOL52WUEBA → UPGD6SMJA6 → OMF92WQKDC → UHC94UQNI6 → QOHB0YOIBA → YGDD0YMMJ2 → YW992WQQ32 → WUTHGII654 → SPN20YXCA8 → YVKFAOKF42 → WRE54UUL84 → SQPJ6SGA98 → MKHF2WKIFE → U8550YUUR6 → YPPOIGBAA2 → WFFD1XMKK4 → WS954UUQ74 → SQPLGIEA98 → KHF71XSKIG → WL540YVUE4 → YSRP6SA872 → WMLJEKGED4 → S9762WTSQ8 → UNLKGIFEC6 → OB751XUSOC → WPLDBNMEA4 → SFC96SQNK8 → MKHB4UOIFE → QD850YURMA → YPJG8QJGA2 → WIF32WWKH4 → UTS50YU766 → YPONKECBA2 → WFDB5TOMK4 → SOD94UQMB8 → QKHD8QMIFA → IG950YUQJI → YPH2ZZWIA2 → XXOF6SKB23 → VUMD4UMD55 → RPP98QQAA9 → JHHFEKKIIH ⮌ |