A045913 - cp's OEIS frontend

A045913 Kaprekar numbers: numbers k such that k = q + r and k^2 = q*10^m + r, for some m >= 1, q >= 0 and 0 <= r < 10^m. Here q and r must both have the same number of digits.

n	a(n)
1	1
2	9
3	45
4	55
5	703
6	4950
7	5050
8	7272
9	7777
10	77778
11	82656
12	318682
13	329967
14	351352
15	356643
16	390313
17	461539
18	466830
19	499500
20	500500
21	533170
22	538461
23	609687
24	643357
25	648648
26	670033
27	681318
28	791505
29	812890
30	818181
31	851851
32	857143
33	4444444
34	4927941
35	5072059
36	5555556
37	11111112
38	36363636
39	38883889
40	44363341
41	44525548
42	49995000
43	50005000

[1, 9, 45, 55, 703, 4950, 5050, 7272, 7777, 77778, 82656, 318682, 329967, 351352, 356643, 390313, 461539, 466830, 499500, 500500, 533170, 538461, 609687, 643357, 648648, 670033, 681318, 791505, 812890, 818181, 851851, 857143, 4444444, 4927941, 5072059, 5555556, 11111112, 36363636, 38883889, 44363341, 44525548, 49995000, 50005000]

cp's OEIS Frontend

A045913 Kaprekar numbers: numbers k such that k = q + r and k^2 = q*10^m + r, for some m >= 1, q >= 0 and 0 <= r < 10^m. Here q and r must both have the same number of digits.

Table of values

List of values