A230355 Nonsquarefree numbers n such that digit sum of n = digit sum of squarefree part of n.

12, 24, 60, 100, 120, 132, 150, 156, 200, 204, 228, 240, 264, 276, 300, 320, 348, 372, 420, 500, 516, 552, 600, 624, 636, 660, 700, 708, 732, 744, 780, 912, 1000, 1014, 1050, 1056, 1068, 1092, 1100, 1128, 1164, 1200, 1212, 1216, 1236, 1248, 1272, 1300, 1308, 1320, 1356, 1380, 1392, 1400

Offset: 1

Author

Antonio Roldán, Oct 16 2013

Keywords

• nonn
• base
• less

Examples

			Squarefree part of 624=2^4*3*13 is 39. Digit_sum(624)=12, digit_sum(39)=12
		

Crossrefs

Cf. A006753, A230354, A230356, A230357.

Programs

PARI

digsum(n)={local (d, p); d=0; p=n; while(p, d+=p%10; p=floor(p/10)); return(d)}
{for (n=4, 10^3,m=core(n);if(digsum(n)==digsum(m)&&m<>n,print(n)));}