A333133 7-Kaprekar numbers.

1, 627615, 4444444, 4927941, 5072059, 5555556, 9372385, 9999999

Offset: 1

Author

Eric Fox, Mar 09 2020

Keywords

• nonn
• fini
• full
• base

Comments

No n-Kaprekar number k can have more than n digits because then the number to the left of the plus sign would have more digits than k itself, meaning the sum will always be greater than k.

Examples

			627615 is in this sequence because inserting a + before the 7th digit from the right of 627615^2 = 393900588225 yields 39390 + 0588225, which equals 627615 (the starting number).
		

Crossrefs

Cf. A006886, A037042, A053394, A053395, A053396, A053397.