A230354 Even numbers n such that digit sum of n = digit sum of largest odd divisor of n.

12, 18, 36, 54, 60, 72, 90, 108, 126, 132, 144, 156, 162, 180, 198, 204, 216, 228, 234, 240, 252, 270, 276, 306, 320, 324, 342, 348, 360, 372, 378, 396, 414, 420, 432, 450, 504, 516, 522, 540, 558, 594, 612, 624, 630, 636, 660, 702, 708, 720, 732, 738, 756, 774, 780, 792, 810, 900

Offset: 1

Author

Antonio Roldán, Oct 16 2013

Keywords

• nonn
• base
• less

Examples

			Largest odd divisor of 162 is 81. Digit_sum(162)=9, digit_sum(81)=9
		

Crossrefs

Cf. A006753, A219340, A230355, A230356, A230357.

Programs

PARI

mdi(n)= n / 2^valuation(n, 2)
digsum(n)={local (d, p); d=0; p=n; while(p, d+=p%10; p=floor(p/10)); return(d)}
{for (n=2, 10^3,m=mdi(n);if(digsum(n)==digsum(mdi(n))&&m<>n,print(n)));}