How many 6-digit integers have exactly 15 prime factors, not necessarily distinct? Thanks for help.
a=100000;d=a;c=0;p=0;cycle:b=divisor(a);c=c+1;a=a/b;if(a>=b, goto cycle, 0);if(c==15, goto loop,goto next);loop:printd," ",;p=p+1;next:d++;a=d;c=0;if(d<1000000, goto cycle,0);print">>Total =",p
OUTPUT = 75 such integers as follows:
110592 114688 122880 165888 172032 180224 184320 204800 212992 248832 258048 270336 276480 278528 286720 307200 311296 319488 373248 376832 387072 401408 405504 414720 417792 430080 450560 460800 466944 475136 479232 507904 512000 532480 559872 565248 580608 602112 606208 608256 622080 626688 630784 645120 671744 675840 691200 696320 700416 704512 712704 716800 718848 745472 761856 768000 770048 778240 798720 839808 847872 868352 870912 903168 909312 912384 933120 940032 942080 946176 966656 967680 974848 991232 999424 >>Total = 75
