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

1,1

Links

Table of n, a(n) for n=1..58.

Example

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

Prog

(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))); }

Crossrefs

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

Sequence in context: A349027 A348965 A162694 * A349180 A197464 A124205

Adjacent sequences: A230351 A230352 A230353 * A230355 A230356 A230357

Keyword

nonn,base,less

Author

Antonio Roldán, Oct 16 2013

Status

approved