Base 35: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl

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
24 max steps10 → 0Y → X1 → V3 → R7
318 max steps100 → 0YY → XY1 → WY2 → VY3 → UY4 → TY5 → SY6 → RY7 → QY8 → PY9 → OYA → NYB → MYC → LYD → KYE → JYF → IYG → HYH
44 max stepsI000 → HYYH → HGHI → 1YYX → X0X2
517 max steps30000 → 2YYYW → W1YW3 → XSY52 → WRY63 → VPY84 → UMYB5 → TIYF6 → SDYK7 → REYJ8 → QCYL9 → PDYKA → OBYMB → NCYLC → MAYND → O9YOB → PCYLA → OCYLB
647 max steps40008T → T83UQ6 → RNHGB8 → JC0XMG → XA2VO2 → VTDK54 → RO6RA8 → LJDKFE → 863USR → RMIFC8 → JA2VOG → TE2VK6 → TN5SB6 → OMBMCB → DB9ONM → FC8PMK → HA4TOI → PE0XKA → XF5SJ2 → VN3UB4 → SQBM87 → LIANGE → D71WRM → VK8PE4 → RH5SH8 → NIYYFC → MJ4TFD → P93UPA → RGEJI8 → J51WTG → VO2VA4 → TRDK76 → NK6REC → LB5SNE → NC6RMC → LB9ONE → FC6RMK → LA4TOE → PE6RKA → LF5SJE → N73URC → RKANE8 → JD5SLG → N82VQC → TIANG6 → ND1WLC → VB7QN4 → RJBMF8
734 max steps600000H → H5YYYSI → THFYIH6 → SE0YXK7 → YQDYK81 → XQCYL82 → WPDYK93 → VNBYMB4 → UKBYME5 → TJ7YQF6 → SMAYNC7 → RIAYNG8 → QH6YRH9 → SI8YPG7 → RK8YPE8 → QJAYNF9 → PG7YQIA → RG8YPI8 → QJ8YPF9 → QH9YOH9 → PH6YRHA → SH7YQH7 → RL8YPD8 → QJBYMF9 → PF6YRJA → SH9YOH7 → RJ6YRF8 → SJBYMF7 → RH6YRH8 → SJ9YOF7 → RJ8YPF8 → QJ9YOF9 → PH8YPHA → QF7YQJ9 → RHAYNH8
892 max steps10000000 → 0YYYYYYY → XYYYYYY1 → X0YYYYX2 → YW10XX21 → YWWT4221 → XUUO9442 → VQQEJ884 → RII4TGG8 → PJ21WWFA → VUF3UJ44 → SQQ3U887 → RLIHGGD8 → J820XWQG → XUI2VG42 → VTQ1W854 → VROHGA74 → RKE0XKE8 → XJ65SSF2 → VNM3UCB4 → SQC9OM87 → LIF9OJGE → F741WURK → VQK4TE84 → RPI5SG98 → NJG1WIFC → VB41WUN4 → VRQBM874 → RKIANGE8 → JD61WSLG → VM82VQC4 → TRI9OG76 → NKF1WJEC → VB63USN4 → SQMBMC87 → LIB9ONGE → FC71WRMK → VKA4TOE4 → RPE5SK98 → NJG5SIFC → NB41WUNC → VQCANM84 → RID9OLG8 → JF81WQJG → VI42VUG4 → TRQ1W876 → VNKHGEB4 → RC60XSM8 → XMJ9OFC2 → VFA3UOJ4 → SQE3UK87 → RLI5SGD8 → NJ81WQFC → VIB3UNG4 → SQC1WM87 → VLI9OGD4 → RF81WQJ8 → VJI3UGF4 → SQ41WU87 → VQLHGD84 → RI80XQG8 → XJI1WGF2 → WU41WU43 → VTQP8854 → ROIGHGA8 → JE20XWKG → XU62VS42 → VTQLC854 → ROI8PGA8 → JHE1WKHG → V62YYVS4 → WUP2V943 → USQFI865 → PMI2VGCA → TFA1WOJ6 → VNE3UKB4 → SQC5SM87 → NLI9OGDC → FB81WQNK → VIC4TMG4 → RPA1WO98 → VJGDKIF4 → R741WUR8 → VQKIFE84 → RI62VSG8 → TMJ1WFC6 → VNA3UOB4 → SQEBMK87 → LIB5SNGE → NC71WRMC → VKB9ONE4 → RFC5SMJ8 → NJA3UOFC
936 max steps5000000FW → WF4YYYTJ3 → VUJCYLF44 → URI5YSG75 → TPLAYND96 → SKF9YOJE7 → RJA4YTOF8 → ULH8YPHD5 → TMC3YUMC6 → VOH9YOHA4 → UME6YRKC5 → TOF7YQJA6 → SMG8YPIC7 → RKD5YSLE8 → TKE6YRKE6 → SND5YSLB7 → TLH9YOHD6 → SKB3YUNE7 → VNH8YPHB4 → UNE5YSKB5 → TPH8YPH96 → SLG7YQID7 → RLD4YTLD8 → ULE7YQKD5 → TND6YRLB6 → SNG9YOIB7 → RJD6YRLF8 → SJE5YSKF7 → TLE4YTKD6 → UNG6YRIB5 → TOG6YRIA6 → SNH7YQHB7 → RLF5YSJD8 → TKE5YSKE6 → TNE5YSKB6 → TNH8YPHB6 → SLE5YSKD7
10103 max stepsC00000PPYY → YYPPBM9901 → YXGGANII11 → XWD21WWL22 → WUUU7Q4443 → TQQQIF8886 → NIII2VGGGC → TB221WWWN6 → VUUNBMB444 → RQQCANM888 → JIID9OLGGG → F8321WWVQK → VUSI4TG644 → RQPM1WC988 → VJIG9OIGF4 → RF421WWUJ8 → VUQJ3UF844 → SQQI3UG887 → RLII1WGGD8 → VJ821WWQF4 → VURI3UG744 → SQQK1WE887 → VLII5SGGD4 → RN821WWQB8 → VUJIBMGF44 → RQB41WUN88 → VQJIBMGF84 → RIB41WUNG8 → VQJC1WMF84 → VRIA3UOG74 → SQKE1WKE87 → VLI65SSGD4 → RNM81WQCB8 → VJIC9OMGF4 → RFA41WUOJ8 → VQJE3UKF84 → SQI63USG87 → RMLI1WGDC8 → VJA81WQOF4 → VRIE3UKG74 → SQK61WSE87 → VMLI5SGDC4 → RNA81WQOB8 → VJIEBMKGF4 → RB641WUSN8 → VQMJBMFC84 → RIBA3UONG8 → RJEC1WMKF8 → VJA63USOF4 → SQME3UKC87 → RLIA5SOGD8 → NJE81WQKFC → VIB63USNG4 → SQMC1WMC87 → VLIA9OOGD4 → RFE81WQKJ8 → VJI63USGF4 → SQM41WUC87 → VQLI9OGD84 → RIF81WQJG8 → VJI41WUGF4 → VRQ41WU874 → VRQKHGE874 → RKI60XSGE8 → XMJ61WSFC2 → WUMA3UOC43 → TRQE9OK876 → NKIF5SJGEC → NB641WUSNC → VQMCANMC84 → RIDA9OOLG8 → JFE81WQKJG → VI642VUSG4 → TRQM1WC876 → VNKI9OGEB4 → RFC61WSMJ8 → VMJA3UOFC4 → SQEA3UOK87 → RLIE5SKGD8 → NJ861WSQFC → VMIB3UNGC4 → SQCA1WOM87 → VLIE9OKGD4 → RF861WSQJ8 → VMJI3UGFC4 → SQA41WUO87 → VQLIDKGD84 → RI871WRQG8 → VKJI1WGFE4 → VR641WUS74 → VRQMJEC874 → RKIA4TOGE8 → PJE61WSKFA → VMF63USJC4 → SQMA3UOC87 → RLIE9OKGD8 → JF861WSQJG → VMI42VUGC4 → TRQA1WO876 → VNKIDKGEB4 → RC761WSRM8 → VMKJ9OFEC4 → RFA63USOJ8 → RMJE3UKFC8