Base 31: Cycles Sequences: Maximum Length Cycle Count

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 # Full Cycles
(excluding zero)
Max Cycle
Length
Longest Full Cycles
(excluding zero)
(bold = exactly one cycle [excluding zero])
10 cycles--
20 cycles--
31 cycle 2 nodesEUG → FUF
421 cycles5 nodesD0TI → T4P2 → RK94 → NAJ8 → F8LG
52 cycles4 nodesK9UKB → L8ULA → MAUJ9 → LBUIA
62 cycles33 nodes751SPO → RKGDA4 → NA2RK8 → PF9KF6 → JAUUJC → KHUUCB → JI2RCC → P75ON6 → KIFECB → 960TOM → TICHC2 → R64PO4 → NLHC98 → FC4PIG → L60TOA → TIAJC2 → R95OL4 → NJBIB8 → F86NMG → HE0TGE → T31SR2 → SQN643 → PMGD86 → JE2RGC → P71SN6 → RJFEB4 → N80TM8 → TFDGF2 → R2UUR4 → SPUU43 → RQ2R44 → PNL876 → JGCHEC
71 cycle 8 nodesNF4UPF8 → QH7UMD5 → PJ8ULB6 → OH9UKD7 → NF6UNF8 → OF7UMF7 → NH6UND8 → OF9UKF7
83 cycles20 nodesHF21SSFE → RQ2UUR44 → SQN0T743 → TPMFE852 → RKE0TGA4 → TNA1SK72 → SQG9KE43 → PMB1SJ86 → RJE7MGB4 → NF81SMF8 → RFDUUGF4 → QHC0TID5 → TL63QO92 → RNIBIC74 → NG75ONE8 → JGF1SFEC → R71UUSN4 → TQL3Q942 → RNMBI874 → NGE6NGE8
95 cycles11 nodesOHB4UPJD7 → QID5UOHC5 → PLC4UPI96 → QJG8ULEB5 → PIA4UPKC6 → QJF7UMFB5 → PJB3UQJB6 → RKE7UMGA4 → QKC5UOIA5 → PLE7UMG96 → OID6UNHC7
104 cycles5 nodesJGFE1SGFEC → R721UUSSN4 → TSOL3Q9622 → RQNIBIC744 → NMG75ONE88
115 cycles12 nodesOJEA3UQKGB7 → RJE94UPLGB4 → QNGA4UPKE75 → QLID5UOHC95 → PLF94UPLF96 → QJGC5UOIEB5 → PLD73UQNH96 → RKIE7UMGCA4 → QKC83UQMIA5 → RLIC7UMIC94 → QKD95UOLHA5 → PLFB6UNJF96