A316486 Squares whose arithmetic mean of digits is 6 (i.e., the sum of digits is 6 times the number of digits).

576, 729, 149769, 173889, 178929, 199809, 278784, 288369, 294849, 389376, 439569, 459684, 467856, 471969, 509796, 589824, 599076, 617796, 660969, 665856, 675684, 685584, 695556, 746496, 751689, 767376, 777924, 788544, 793881, 799236, 853776, 859329, 870489

Offset: 1

Author

Jon E. Schoenfield, Jul 04 2018

Keywords

• nonn
• base

Comments

Each term's number of digits is divisible by 3. (See A316480.)

Examples

			24^2 = 576, a 3-digit number whose digit sum is 5+7+6 = 18 = 6*3, so 576 is a term.
10386^2 = 107868996, a 9-digit number whose digit sum is 1+0+7+8+6+8+9+9+6 = 54 = 6*9, so 107868996 is a term.
		

Links

• Jon E. Schoenfield, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A069711, A316480.

Intersection of A000290 and A061423. - Michel Marcus, Jul 06 2018

Programs

Mathematica

Select[Range[1000]^2,Mean[IntegerDigits[#]]==6&] (* Harvey P. Dale, Aug 05 2021 *)