Base 25: Maximum Iteration Sequences: Full Cycle

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV

Color Key
OrangeFixed Pointnumber that becomes itself after one iteration
GreenFinal Numbersall numbers eventually reached, from all cycles
PurpleCycle Startiterations include entry into cycle, assuming it repeats
RedFull Cycleiterations include entire cycle, proving it repeats
BlueStart Numberssubset (optimization) of all numbers; minimal for full coverage
GrayNo Resultsany calculation that has no results

Digits Max Steps Max Step Example
Full Cycle
12 max steps100
29 max steps10 → 0O → N1 → L3H79F5JDB1NL3
315 max steps100 → 0OO → NO1 → MO2 → LO3 → KO4 → JO5 → IO6 → HO7 → GO8 → FO9 → EOA → DOB → COCBODCOC
414 max stepsD000 → COOC → CBCD → 1OON → N0N2NK32LG74H8F896HGB6HEB2LEJ2L6JCB6D0NCN0N2
516 max stepsC0000 → BOOOD → DAODC → E0ONB → OBOC1 → NCOB2 → MBOC3 → LAOD4 → KAOD5 → J9OE6 → I9OE7 → H8OF8 → G8OF9 → G6OH9I7OG7HAOD8G6OH9
670 max steps9000HH → HH8F78 → A96HFF → B64JIE → FC2LCA → J4OOJ6 → KHOO65 → JI2L66 → JDBCB6 → D20NMC → NK0N42 → NLF832 → LI6H64 → HCADC8 → 92OOLG → MF4J93 → JF5I96 → EC5ICB → D2OOLC → MC7GC3 → J8OOF6 → IG3K87 → HB7GD8 → A81MGF → L84JG4 → HF7G98 → A85IGF → D84JGC → F80NGA → N84JG2 → LF7G94 → H95IF8 → D95IFC → D60NIC → NC0NC2 → NKOO32 → ML2L33 → KIH665 → FCADCA → 52OOLK → MJ0N53 → NJDA52 → LE2LA4 → JH3K76 → HD9EB8 → 951MJG → LE6HA4 → HB3KD8 → H91MF8 → L95IF4 → HD5IB8 → D91MFC → L60NI4 → NHBC72 → LA0NE4 → NH3K72 → LH9E74 → HA4JE8 → F93KFAH64JI8FC8FCA74OOJIKH0N75NF9E92L64JI4HFBC98960NIGNC6HC2LAOOD4KE7GA5F93KFA
729 max steps60000AB → BA5OIEE → J82OLG6 → MFAOD93 → LD4OJB4 → KH7OG75 → JD9OEB6 → IA2OLE7 → ME7OGA3 → LF5OI94 → KG8OF85 → JC7OGC6 → IC3OKC7 → LD5OIB4 → KG6OH85 → JE8OFA6 → IB4OJD7 → KC6OHC5 → JE4OJA6 → KD8OFB5 → JC3OKC6 → LE6OHA4 → KF6OH95 → JE7OGA6 → IC5OIC7 → JB5OID6 → JD6OHB6 → ID5OIB7JB6OHD6ID5OIB7
870 max steps1000033A → A330NLLF → NII4J662 → LFCBCC94 → H60OONI8 → OIF0N961 → OMC5IC21 → NKCOOB42 → MKC7GC43 → JG8OOF86 → IGB0ND87 → NB81MGD2 → MK81MG43 → LJG7G854 → HE97GFA8 → A863KIGF → HC84JGC8 → F97OOGFA → HF5OOI98 → JG91MF86 → LD85IGB4 → HD81MGB8 → L981MGF4 → LH85IG74 → HDA7GEB8 → A841MKGF → LG84JG84 → HF87GG98 → A885IGGF → D884JGGC → F880NGGA → N884JGG2 → LF87GG94 → H985IGF8 → D985IGFC → D860NIGC → NC80NGC2 → NL7OOG32 → MLG4J833 → JIF7G966 → DC95IFCC → D60OONIC → OIB4JD61 → NFC1MC92 → MK5OOI43 → LKH1M744 → LHG9E874 → HA84JGE8 → F983KGFA → H864JIG8 → FC97GFCA → 964OOJIG → KIA1ME65 → LFC3KC94 → IG5OOI87 → JHA1ME76 → LDA3KEB4 → IG41MK87 → LGB7GD84 → H981MGF8 → L985IGF4 → HD85IGB8 → D981MGFCL860NIG4NHC7GC72LA8OOFE4KGB0ND85NF81MG92MK85IG43JGD7GB86D981MGFC
946 max steps700000CCM → MCC6OHCC3 → LG4OOOJ84 → KKG4OJ845 → KGFAOD985 → JC74OJHC6 → KDC4OJCB5 → KF80ONG95 → OIC6OHC61 → NIC4OJC62 → MJD5OIB53 → LHE6OHA74 → KFA6OHE95 → JE84OJGA6 → KDB5OIDB5 → JF71OMH96 → NGC7OGC82 → MG83OKG83 → LJC7OGC54 → KGC3OKC85 → LFC3OKC94 → LHB2OLD74 → MHE5OIA73 → LHB6OHD74 → KFA5OIE95JF94OJF96KDA5OIEB5JF82OLG96MFB6OHD93LG83OKG84LHC7OGC74KEA3OKEA5LFA3OKE94LHB4OJD74KHC5OIC75JFB4OJD96KDA3OKEB5LFA2OLE94MHC4OJC73LIC4OJC64KHD5OIB75JFB5OID96JD93OKFB6LEA3OKEA4LHA3OKE74LHD6OHB74KFA5OIE95
1082 max steps7000000MMM → MMM6OOH223 → MMJG4J8523 → KJFE7GA955 → FE963KIFAA → HC653KJIC8 → HEC8OOFCA8 → GG731MLH89 → LIA86HGE64 → HCB83KGDC8 → H981OOMGF8 → NGE80NGA82 → NL883KGG32 → LIH87GG764 → HCA97GFEC8 → A863OOKIGF → LIC80NGC64 → NHC7OOGC72 → MHG53KJ873 → JHEA7GEA76 → DA943KKFEC → HG640NKI88 → NGC97GFC82 → L985OOIGF4 → KJD90NFB55 → NFE61MIA92 → MKC63KIC43 → JHGBOOC876 → IHB63KID77 → HCBA1MEDC8 → L941OOMKF4 → NKIC4JC642 → LGFBOOC984 → KGC52LJC85 → JFE7OOGA96 → IHA60NIE77 → NCBA3KEDC2 → LH41OOMK74 → NKIE2LA642 → LJGC3KC854 → IGE7OOGA87 → HHA61MIE78 → LCA93KFEC4 → IG63OOKI87 → LIDA1MEB64 → LHC41MKC74 → LHG9OOE874KHD81MGB75LFA81MGE94LH863KIG74IGCA7GEC87B983OOKGFELGB50NJD84NHE81MGA72MKA83KGE43JHG83KG876HDA87GGEB8A8841MKGGFLG884JGG84HF887GGG98A8885IGGGFD8884JGGGCF8880NGGGAN8884JGGG2LF887GGG94H9885IGGF8D9885IGGFCD8860NIGGCNC880NGGC2NL87OOGG32MLGCOOB833LLEA3KEA34IIG43KK867HGCB7GDC88A881OOMGGFNGE60NIA82NLC83KGC32LIH7OOG764KIEB0NDA65NFC41MKC92MKG5OOI843LKHC1MC744LHG9OOE874
1161 max steps7000000CCLN → NLCC6OHCC32 → MKF4OOOJ943 → LKKD4OJB444 → KHGG7OG8875 → JDA87OGGEB6 → IC862OLIGC7 → MFBA3OKED93 → LJB52OLJD54 → MHGE7OGA873 → LFA85OIGE94 → KGA74OJHE85 → KFC95OIFC95 → JF962OLIF96 → MFD95OIFB93 → LH963OKIF74 → LHEB7OGDA74 → KEA62OLIEA5 → MGE83OKGA83 → LJC85OIGC54 → KGEA3OKEA85 → LFC63OKIC94 → LHE92OLFA74 → MHE84OJGA73 → LIC95OIFC64 → KGC92OLFC85 → MGC72OLHC83 → MJE93OKFA53 → LJFA4OJE954 → KHEA4OJEA75 → KFC73OKHC95 → LFD82OLGB94 → MHD73OKHB73 → LJDA5OIEB54 → KGE82OLGA85 → MGC85OIGC83 → LHA83OKGE74 → LHD95OIFB74 → KGB83OKGD85 → LFC84OJGC94 → KHB72OLHD75 → MGDA5OIEB83 → LHA62OLIE74 → MHFB6OHD973 → LGA83OKGE84 → LHC85OIGC74 → KGB93OKFD85 → LFC73OKHC94 → LHD82OLGB74 → MHE94OJFA73 → LIC84OJGC64 → KHDA3OKEB75 → LFD72OLHB94 → MHE83OKGA73 → LJD95OIFB54 → KGE93OKFA85 → LFC74OJHC94 → KHC82OLGC75MGD93OKFB83LJC73OKHC54LHFC4OJC974KHC82OLGC75
12105 max steps60000006699C → C99665IIIFFD → DCC660NIICCC → NCC0OOOONCC2 → OMCCBADDCC21 → NK31OOOOML42 → NMLK30NL4322 → NLKIIF866432 → LIGCC6HCC864 → HCB7OOOOGDC8 → HGDC52LJCB88 → JE981OOMGFA6 → NIEA60NIEA62 → NLCC43KKCC32 → LIHFOOOO8764 → KIHG60NI8765 → NFCCA7GECC92 → L963OOOOKIF4 → LKIF61MI9644 → LHGCC5ICC874 → HDA7OOOOGEB8 → HGED41MKBA88 → LG9841MKGF84 → LHG885IGG874 → HDA887GGGEB8 → A88841MKGGGF → LG8884JGGG84 → HF8887GGGG98 → A88885IGGGGF → D88884JGGGGC → F88880NGGGGA → N88884JGGGG2 → LF8887GGGG94 → H98885IGGGF8 → D98885IGGGFC → D88860NIGGGC → NC8880NGGGC2 → NL887OOGGG32 → MLGD7OOGB833 → LLFD52LJB934 → JIHE61MIA766 → LDCCA3KECCB4 → IG41OOOOMK87 → NKHG61MI8742 → MKGCA7GEC843 → JG983OOKGF86 → LICB70NHDC64 → NHCA1OOMEC72 → NMGC51MJC822 → MKKE7OOGA443 → LKIDA1MEB644 → LHGC41MKC874 → LHGA7OOGE874 → KHE961MIFA75 → LFCA63KIEC94 → IGC63OOKIC87 → LIDA63KIEB64 → IGCC41MKCC87 → LGB7OOOOGD84 → KHGD7OOGB875 → JHD952LJFB76 → JEDA61MIEBA6 → LDC441MKKCB4 → LHGG1OOM8874 → NKFD8OOFB942 → MKFB41MKD943 → LJGG61MI8854 → LHEC87GGCA74 → HA983OOKGFE8 → LGC860NIGC84 → NHC87OOGGC72 → MHG943KKF873 → JHGA85IGE876 → ECA883KGGECB → H8842OOLKGG8 → MKDC8OOFCB43 → LKE930NLFA44 → NIHG63KI8762 → LHCCA7GECC74 → HA93OOOOKFE8 → LGFE61MIA984 → LHC863KIGC74 → IGCA7OOGEC87 → HHA641MKIE78 → LGCA93KFEC84 → IG863OOKIG87 → LIDA9OOEEB64 → KIC830NLGC65 → NIFC7OOGC962 → MIG942LKF863 → KIGC85IGC865 → FDC87OOGGCBA → HG6530NLJI88 → NIEC97GFCA62 → LC963OOKIFC4LKFB62LID944JHGC61MIC876LDCA7OOGECB4KHB520NMJD75NKFEA1MEA942MKG643KKI843JHGGC7GC8876DA987OOGGFECHG7630NLIH88NICA97GFEC62LC963OOKIFC4
13107 max steps400000005CCCH → HCCC53OKJCCC8 → LFB4OOOOOJD94 → KKFDB5OIDB945 → KFF941OMKF995 → NIFB65OIID962 → MICC93OKFCC63 → LJE92OOOLFA54 → MKJCB4OJDC543 → LIGE80ONGA864 → OJFA85OIGE951 → NJEA74OJHEA52 → MJEC73OKHCA53 → LJFC71OMHC954 → NIGC82OLGC862 → MLFA83OKGE933 → LJIC74OJHC654 → KHEDB4OJDBA75 → KFC731OMLHC95 → NJGD82OLGB852 → MLGB84OJGD833 → LJHB84OJGD754 → KHEC94OJFCA75 → KFC851OMJGC95 → NHFB72OLHD972 → MLEA83OKGEA33 → LJIC63OKIC654 → LHFDC5OICB974 → KGB840ONKGD85 → OJFC84OJGC951 → NKEB72OLHDA42 → MLHD72OLHB733 → MJIEA5OIEA653 → LHEC83OKGCA74 → LHD961OMIFB74 → NIFB83OKGD962 → MKEA73OKHEA43 → LJGD73OKHB854 → LHFC94OJFC974 → KHC862OLIGC75 → MGEB93OKFDA83 → LJC752OLJHC54 → MHGEC4OJCA873 → LIC961OMIFC64 → NIFC92OLFC962 → MLF962OLIF933 → MJIF95OIF9653 → LHEC95OIFCA74 → KGB851OMJGD85 → NHFB84OJGD972 → MJC973OKHFC53 → LJFC82OLGC954 → MHGB72OLHD873 → MJEA94OJFEA53 → LIEA53OKJEA64 → LHFD83OKGB974 → LHD973OKHFB74 → LHDA83OKGEB74 → LHD962OLIFB74 →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
1498 max steps200000006BCCCE → ECCCB61MIDCCCB → LC31OOOOOOMLC4 → NLKCC30NLCC432 → NLIIFOOOO86632 → MLIIF5OOI96633 → LLHFC92LFC9734 → JIHA65OOIIE766 → JIDCB82LGDCB66 → JDC821OOMMGCB6 → NMGE840NKGA822 → NLKG883KGG8432 → LIHG887GGG8764 → HCA9887GGGFEC8 → A88863OOKIGGGF → LICA860NIGEC64 → NHCC83OOKGCC72 → MLGC53OOKJC833 → LLJGC73KHC8534 → IIGEA7OOGEA867 → IHBA65OOIIED77 → JIBB860NIGDD66 → NDCC821MMGCCB2 → MKK81OOOOMG443 → NLKKE5OOIA4432 → MLJHFA3KE97533 → JIHEA63KIEA766 → HDCCA43KKECCB8 → HG941OOOOMKF88 → NKGGD50NJB8842 → NLGE881MGGA832 → MKI8883KGGG643 → JHGC887GGGC876 → DA9887OOGGGFEC → HG87630NLIHG88 → NICA987GGFEC62 → LC9863OOKIGFC4 → LKFC942LKFC944 → JHGG65OOII8876 → JIDBA8OOFEDB66 → IIB842OOLKGD67 → MKFDA72LHEB943 → KIGA641MKIE865 → LGFCC83KGCC984 → IG885OOOOIGG87 → JHGGA1OOME8876 → NIFB961MIFD962 → MKCC661MIICC43 → LJGCBOOOOCC854 → KJGD973KHFB855 → HFEA861MIGEA98 → LC98643KKIGFC4 → IGGC85OOIGC887 → JHAA843KKGEE76 → HGDA843KKGEB88 → HG98841MKGGF88 → LG98885IGGGF84 → HD88885IGGGGB8 → D988881MGGGGFC → L888860NIGGGG4 → NHC8887GGGGC72 → LA9887OOGGGFE4 → KHD8760NIHGB75 → NFCAA81MGEEC92 → MK8643OOKKIG43 → LLIGEC1MCA8634 → LIHC83OOKGC764 → LKFDA53KJEB944 → IGGE641MKIA887 → LGCB883KGGDC84 → IG8881OOMGGG87 → NHEA87OOGGEA72 → MHG965OOIIF873 → LJGBA80NGED854 → NHE8841MKGGA72 → MKGA883KGGE843 → JHG8883KGGG876HDA8887GGGGEB8A888841MKGGGGFLG88884JGGGG84HF88887GGGGG98A888885IGGGGGFD888884JGGGGGCF888880NGGGGGAN888884JGGGGG2LF88887GGGGG94H988885IGGGGF8D988885IGGGGFCD888860NIGGGGCNC88880NGGGGC2NL8887OOGGGG32MLGD87OOGGB833LLFD852LJGB934JIHE861MIGA766LDCCA83KGECCB4IG841OOOOMKG87NKHGE41MKA8742MKGGA83KGE8843JHG8883KGGG876