Base 127: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР

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
28 max steps10 → 0П → О1 → М3 → И7 → АF → κV → ΒΒ → 00
364 max steps100 → 0ПП → ОП1 → НП2 → МП3 → ЛП4 → КП5 → ЙП6 → ИП7 → ЗП8 → ЖП9 → ЕПA → ДПB → ГПC → ВПD → БПE → АПF → ωПG → ψПH → χПI → φПJ → υПK → τПL → σПM → ςПN → ρПO → πПP → οПQ → ξПR → νПS → μПT → λПU → κПV → ιПW → θПX → ηПY → ζПZ → εПa → δПb → γПc → βПd → αПe → ΩПf → ΨПg → ΧПh → ΦПi → ΥПj → ΤПk → ΣПl → ΡПm → ΠПn → ΟПo → ΞПp → ΝПq → ΜПr → ΛПs → ΚПt → ΙПu → ΘПv → ΗПw → ΖПx → ΕПy → ΔПz → ΓПΑ → ΒПΒ
44 max stepsΓ000 → ΒППΒ → ΒΑΒΓ → 1ППО → О0О2
549 max steps10006 → 60ПОК → ПЗП71 → ОЗП72 → НЖП83 → МДПA4 → ЛБПD5 → КχПH6 → ЙςПM7 → ИμПS8 → ЗεПZ9 → ЖΦПhA → ЕΜПqB → ДΒПΑC → ГqПΜD → ВzПΓE → БpПΝF → АyПΔG → ωoПΞH → ψxПΕI → χnПΟJ → φwПΖK → υmПΠL → τvПΗM → σlПΡN → ςuПΘO → ρkПΣP → πtПΙQ → οjПΤR → ξsПΚS → νiПΥT → μrПΛU → λhПΦV → κqПΜW → ιgПΧX → θpПΝY → ηfПΨZ → ζoПΞa → εeПΩb → δnПΟc → γdПαd → βmПΠe → αcПβf → γjПΤd → βgПΧe → αiПΥf → ΩfПΨg → ΩgПΧg → ΨgПΧh → ΨeПΩh
6169 max stepsA000ЖЖ → ЖЖ9Е9A → χχτKIJ → εδΨfbb → rqgΧΝΝ → fMKτσα → ΩΦiΥig → hcaδγΨ → roeΩΟΝ → jQKτοΦ → ΩΝaδqg → rhLσΧΝ → ΧeKταi → ΩkcβΤg → nhXηΧΡ → xeSμαΗ → Θk8ЖΤw → ψYAДηI → τζvΗZM → ΧuAДΙi → τdDБβM → ξΧlΡhS → ΚeUκαu → ΔkEАΤΑ → μY2МηU → КΖvΗx6 → ДB7ЗДC → АσρNMG → κΦΡliW → ΒcUκγΓ → Δo0ОΟΑ → ОQ2Мο2 → МКΜq54 → ИЕKτA8 → АυΨfKG → καgΧeW → ΒkeΩΤΓ → jY0ОηΦ → ОwaδΗ2 → Мr9ЕΜ4 → ИφJυJ8 → АγαdcG → κokΣΟW → ΒXPοθΓ → Ξy0ОΕq → ОN5Йς2 → МДΣkB4 → ИσWθM8 → АΦyΔiG → κc4КγW → ЖΒnΟΒA → φQППξK → υο7ЗQL → АΩΜqfG → κiKτΦW → ΩΒbγΒg → pgППΧΟ → ΨΞ6Иph → ВfNρΩE → ξΣhΦlS → ΚdVιβu → ΒmEАΡΓ → μU0ОλU → ОΖΔyx2 → М84КЗ4 → ИЖψG98 → АχηXIG → κεwΖaW → Βs8ЖΛΓ → ψI0ОχI → ОζδaZ2 → МuqΜΙ4 → ИLDБτ8 → АξΧgRG → κΛeΩsW → ΒjHχΥΓ → ζa0Оεa → ОtrΛΚ2 → МJFωφ4 → ИκβcV8 → АΓmΠΑG → κT1НμW → МΗΑΒw4 → ИA0ОЕ8 → ОАτKF2 → МλΨfU4 → ИΕgΧy8 → Аf5ЙΩG → ДκhΦVC → ςΓcβΑO → Σn1НΠm → МVRνκ4 → ИΚΒΑt8 → АG0ОωG → ОκθWV2 → МΓyΔΑ4 → И51НК8 → МЕωFA4 → ИυιVK8 → АαΑΒeG → κk0ОΤW → ОΒXηΒ2 → МwППΖ4 → ЛΗtΙw5 → ЖF9ЕАA → χυκUKJ → δαΓzec → pk2МΤΟ → КYOπη6 → ДΠvΗnC → ςSAДνO → τΣΘulM → ΧWCВιi → πΑcβΓQ → Ξn1НΠq → МSMςν4 → ИΥΘuj8 → АaCВεG → πκrΛVQ → ΞΓIφΑq → δN1Нςc → МΤoΞk4 → ИYOπη8 → АΠvΗnG → κSAДνW → τΙΑΒuM → ΧE0ОБi → ОνcβS2 → МΙmΠu4 → ИTDБμ8 → АξΖwRG → κΛ8ЖsW → ψΒHχΒI → ηδППaZ → ζε2Мaa → КtrΛΚ6 → ДJFωφC → ςκβcVO → ΣΓmΠΑm → VT1Нμλ → МΗΓzw4 → ИA2МЕ8 → КАτKF6 → ДλΨfUC → ςΕgΧyO → Σf5ЙΩm → ДiUκΦC → ςΔbγzO → Σp3ЛΞm → ИVNρκ8 → АΣΒΑlG → κW0ОιW → ОΒzΓΒ2 → М2ППМ4 → НКПП43 → МЛ2М44 → КИЖ876 → ДБχHEC → ςνεZSO → ΣΙsΚum → VHDБψλ → ξηΓzYS → Κw2МΗu → КF9ЕА6 → ДφκUJC → ςγΓzcO → Σo2МΟm → КVPοκ6 → ДΞΒΑpC → ςO0ОρO