Base 25: Maximum Iteration Sequences: Cycle Start

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
Cycle Start
11 max steps10
23 max steps10 → 0O → N1 → L3
313 max steps100 → 0OO → NO1 → MO2 → LO3 → KO4 → JO5 → IO6 → HO7 → GO8 → FO9 → EOA → DOB → COC
44 max stepsD000 → COOC → CBCD → 1OON → N0N2
513 max stepsC0000 → BOOOD → DAODC → E0ONB → OBOC1 → NCOB2 → MBOC3 → LAOD4 → KAOD5 → J9OE6 → I9OE7 → H8OF8 → G8OF9 → G6OH9
658 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 → F93KFA
727 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 → ID5OIB7
862 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 → D981MGFC
934 max steps20000000O → O1OOOOOM1 → NN1OOOM12 → NNM0ON212 → OMLKO3321 → NMJHO6522 → MLHCOB733 → LJE5OIA54 → KGE7OGA85 → JD85OIGB6 → JDA4OJEB6 → KD92OLFB5 → MGB3OKD83 → LJC4OJC54 → KHE6OHA75 → JEA6OHEA6 → ID73OKHB7 → LDB5OIDB4 → KG71OMH85 → NHD8OFB72 → MG93OKF83 → LJC6OHC54 → KGD4OJB85 → KFB4OJD95 → KFA3OKE95 → LFB4OJD94 → KHA3OKE75 → LFD6OHB94 → KF83OKG95 → LFC6OHC94 → KF82OLG95 → MGC6OHC83 → LG93OKF84 → LHC6OHC74 → KFA4OJE95
1046 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 → LHG9OOE874
1157 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 → KHC82OLGC75
1294 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 → LC963OOKIFC4
1359 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 → MHFB83OKGD973
1476 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 → JHG8883KGGG876