A112536 Natural numbers that can be factored into the product of three positive integers whose minimal sum is achieved in more than one way.

360, 1008, 3696, 3960, 5040, 5850, 6240, 6552, 7425, 10800, 12285, 13464, 13600, 14280, 14688, 15120, 15300, 19008, 19152, 19800, 19950, 20064, 20520, 20790, 21280, 21600, 22491, 26775, 30240, 30800, 31050, 31200, 32760, 33696, 34398

Offset: 1

Author

Lucas Finn (lucas.finn(AT)tufts.edu) and Bruce Boghosian, Dec 13 2005

Keywords

• nonn

Examples

			6552 = 14*18*26 = 13*21*24. Each triples' factors sum to 58 (14+18+26 = 58 and 13+21+24 = 58). 58 works out to be the minimal sum for all 3-factorizations of 6552 and there are two of them.