Positive integers k such that the set {d+k/d : d|k} contains three consecutive integers.

Terms

a(0) =144a(1) =180a(2) =1260a(3) =1440a(4) =2520a(5) =5040a(6) =5544a(7) =7200a(8) =14040a(9) =15120a(10) =25200a(11) =31680a(12) =33660a(13) =37800a(14) =46800a(15) =59400a(16) =62244a(17) =65520a(18) =70560a(19) =83160a(20) =107100a(21) =110880a(22) =115920a(23) =166320a(24) =169344a(25) =176400a(26) =180180a(27) =183600a(28) =190944a(29) =221760