The worksheets for World!Of Numbers plate 219:


(my research range is bases 2 <= b <= 12, also both "appending digits to the RIGHT of a number" and "prepending digits to the LEFT of the number")


Appending digits:


Base 2 appending digits 1 (k <= 10000)

Base 3 appending digits 1 (k <= 2500)

Base 3 appending digits 2 (k <= 10000)

Base 4 appending digits 1 (k <= 1484)

Base 4 appending digits 3 (k <= 10000)

Base 5 appending digits 1 (k <= 2125)

Base 5 appending digits 2 (k <= 2793)

Base 5 appending digits 3 (k <= 1650)

Base 5 appending digits 4 (k <= 2719)

Base 6 appending digits 1 (k <= 5000)

Base 6 appending digits 5 (k <= 10000)

Base 7 appending digits 1 (k <= 152)

Base 7 appending digits 2 (k <= 4100)

Base 7 appending digits 3 (k <= 554)

Base 7 appending digits 4 (k <= 2215)

Base 7 appending digits 5 (k <= 178)

Base 7 appending digits 6 (k <= 10000)

Base 8 appending digits 1 (k <= 410)

Base 8 appending digits 3 (k <= 2585)

Base 8 appending digits 5 (k <= 1040)

Base 8 appending digits 7 (k <= 1065)

Base 9 appending digits 1 (k <= 623)

Base 9 appending digits 2 (k <= 775)

Base 9 appending digits 4 (k <= 467)

Base 9 appending digits 5 (k <= 172)

Base 9 appending digits 7 (k <= 766)

Base 9 appending digits 8 (k <=663)

Base 10 appending digits 1 (k <= 370)

Base 10 appending digits 3 (k <= 5000)

Base 10 appending digits 7 (k <= 3125)

Base 10 appending digits 9 (k <= 12500)

Base 11 appending digits 1

Base 11 appending digits 2

Base 11 appending digits 3

Base 11 appending digits 4

Base 11 appending digits 5

Base 11 appending digits 6

Base 11 appending digits 7

Base 11 appending digits 8

Base 11 appending digits 9

Base 11 appending digits X

Base 12 appending digits 1

Base 12 appending digits 5

Base 12 appending digits 7

Base 12 appending digits E


Prepending digits:


Base 2 prepending digits 1 (k <= 4369)

Base 3 prepending digits 1 (k <= 1505)

Base 3 prepending digits 2 (k <= 10000)

Base 4 prepending digits 1 (k <= 1155)

Base 4 prepending digits 2 (k <= 483)

Base 4 prepending digits 3 (k <= 4651)

Base 5 prepending digits 1 (k <= 1121)

Base 5 prepending digits 2 (k <= 1467)

Base 5 prepending digits 3 (k <= 1169)

Base 5 prepending digits 4 (k <= 2073)

Base 6 prepending digits 1

Base 6 prepending digits 2

Base 6 prepending digits 3

Base 6 prepending digits 4

Base 6 prepending digits 5

Base 7 prepending digits 1

Base 7 prepending digits 2

Base 7 prepending digits 3

Base 7 prepending digits 4

Base 7 prepending digits 5

Base 7 prepending digits 6

Base 8 prepending digits 1

Base 8 prepending digits 2

Base 8 prepending digits 3

Base 8 prepending digits 4

Base 8 prepending digits 5

Base 8 prepending digits 6

Base 8 prepending digits 7

Base 9 prepending digits 1

Base 9 prepending digits 2

Base 9 prepending digits 3

Base 9 prepending digits 4

Base 9 prepending digits 5

Base 9 prepending digits 6

Base 9 prepending digits 7

Base 9 prepending digits 8

Base 10 prepending digits 1 (k <= 3125)

Base 10 prepending digits 2 (k <= 1440)

Base 10 prepending digits 3 (k <= 5000)

Base 10 prepending digits 4 (k <= 2117)

Base 10 prepending digits 5 (k <= 1443)

Base 10 prepending digits 6 (k <= 2048)

Base 10 prepending digits 7 (k <= 3511)

Base 10 prepending digits 8 (k <= 1123)

Base 10 prepending digits 9 (k <= 11789)

Base 11 prepending digits 1

Base 11 prepending digits 2

Base 11 prepending digits 3

Base 11 prepending digits 4

Base 11 prepending digits 5

Base 11 prepending digits 6

Base 11 prepending digits 7

Base 11 prepending digits 8

Base 11 prepending digits 9

Base 11 prepending digits X

Base 12 prepending digits 1

Base 12 prepending digits 2

Base 12 prepending digits 3

Base 12 prepending digits 4

Base 12 prepending digits 5

Base 12 prepending digits 6

Base 12 prepending digits 7

Base 12 prepending digits 8

Base 12 prepending digits 9

Base 12 prepending digits X

Base 12 prepending digits E