A382165 Kaprekar numbers (A006886) that are divisible by the sum of their digits.

1, 9, 45, 999, 2223, 4950, 5050, 5292, 7272, 142857, 148149, 187110, 356643, 466830, 499500, 500500, 538461, 627615, 648648, 681318, 791505, 818181, 961038, 994708, 5555556, 11111112, 16590564, 30884184, 36363636, 49995000, 50005000, 55474452, 74747475, 234567901, 432432432, 665188470, 999999999, 2020202020, 3846956652, 4132841328, 4999950000, 5000050000

Offset

1,2

Links

Amiram Eldar, Table of n, a(n) for n = 1..5091

Shyam Sunder Gupta, On Some Marvellous Numbers of Kaprekar, Exploring the Beauty of Fascinating Numbers, Springer (2025) Ch. 9, 275-315.

Crossrefs

Intersection of A005349 and A006886.

Sequence in context: A355175 A352398 A261847 * A050909 A333306 A384075

Adjacent sequences: A382162 A382163 A382164 * A382166 A382167 A382168

Keyword

nonn,base

Author

N. J. A. Sloane, Mar 26 2025

Status

approved