A162532 Numbers k whose largest divisor <= sqrt(k) equals 12.

144, 156, 168, 180, 192, 204, 216, 228, 264, 276, 348, 372, 444, 492, 516, 564, 636, 708, 732, 804, 852, 876, 948, 996, 1068, 1164, 1212, 1236, 1284, 1308, 1356, 1524, 1572, 1644, 1668, 1788, 1812, 1884, 1956, 2004, 2076, 2148, 2172, 2292, 2316, 2364

Offset: 1

Author

Omar E. Pol, Jul 05 2009

Keywords

• easy
• nonn

Comments

See A161344 for more information.

Links

• Harvey P. Dale, Table of n, a(n) for n = 1..1000

Crossrefs

Cf. A033676, A008578, A161344, A161345, A161424, A161835, A162526, A162527, A162528, A162529, A162530, A162531.

Programs

Maple

A033676 := proc(n) local dvs; dvs := sort(convert(numtheory[divisors](n),list)) ; op(floor((nops(dvs)+1)/2) ,dvs) ; end: for n from 1 to 3500 do if A033676(n) = 12 then printf("%d,",n) ; fi; od: # R. J. Mathar, Jul 13 2009

Mathematica

ld12Q[n_]:=First[Select[Reverse[Divisors[n]],#<=Sqrt[n]&]]==12;Select[ 12*Range[ 200], ld12Q] (* Harvey P. Dale, Mar 29 2013 *)

Formula

Numbers k such that A033676(k)=12.

Extensions

More terms from R. J. Mathar, Jul 13 2009