Base 152: Maximum Iteration Sequences: Cycle Start

Blog: The First Pixel: Kaprekar's Constant 6174

Radix Character Encoding
0123456789ABCDEF
GHIJKLMNOPQRSTUV
WXYZabcdefghijkl
mnopqrstuvwxyzΑΒ
ΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣ
ΤΥΦΧΨΩαβγδεζηθικ
λμνξοπρςστυφχψωА
БВГДЕЖЗИЙКЛМНОПР
СТУФХЦЧШЩЪЫЬЭЮЯа
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 steps1 → 0
22 max steps20 → 1з → е3
377 max steps100 → 0ии → зи1 → жи2 → еи3 → ди4 → ги5 → ви6 → би7 → аи8 → Яи9 → ЮиA → ЭиB → ЬиC → ЫиD → ЪиE → ЩиF → ШиG → ЧиH → ЦиI → ХиJ → ФиK → УиL → ТиM → СиN → РиO → ПиP → ОиQ → НиR → МиS → ЛиT → КиU → ЙиV → ИиW → ЗиX → ЖиY → ЕиZ → Диa → Гиb → Виc → Биd → Аиe → ωиf → ψиg → χиh → φиi → υиj → τиk → σиl → ςиm → ρиn → πиo → οиp → ξиq → νиr → μиs → λиt → κиu → ιиv → θиw → ηиx → ζиy → εиz → δиΑ → γиΒ → βиΓ → αиΔ → ΩиΕ → ΨиΖ → ΧиΗ → ΦиΘ → ΥиΙ → ΤиΚ → ΣиΛ → ΡиΜ → ΠиΝ → ΟиΞ → ΞиΟ
413 max steps600D → D5вЬ → ЭОPC → СξpO → σlςm → vsλκ → gbВω → ΟΖΧΟ → FииЩ → ЩEЩG → ЛИVU → ηβΒy → WNРЙ → σβΒm
557 max stepsΞ0000 → ΝиииΠ → ΠΜиΠΞ → Ρ1ижΝ → зΝиΟ2 → жΞиΞ3 → еΜиΠ4 → дΝиΟ5 → гΛиΡ6 → вΜиΠ7 → бΚиΣ8 → аΛиΡ9 → ЯΙиΤA → ЮΚиΣB → ЭΘиΥC → ЬΙиΤD → ЫΗиΦE → ЪΘиΥF → ЩΖиΧG → ШΗиΦH → ЧΕиΨI → ЦΖиΧJ → ХΔиΩK → ФΕиΨL → УΓиαM → ТΔиΩN → СΒиβO → РΓиαP → ПΑиγQ → ОΒиβR → НzиδS → МΑиγT → ЛyиεU → КzиδV → ЙxиζW → ИyиεX → ЗwиηY → ЖxиζZ → Еvиθa → Дwиηb → Гuиιc → Вvиθd → Бtиκe → Аuиιf → ωsиλg → ψtиκh → χrиμi → φsиλj → υqиνk → τrиμl → σpиξm → ςqиνn → ρoиοo → πpиξp → οnиπq → ρmиρo → ςpиξn → ρpиξo