Numbers j where sigma_k(j) increases to a record for all real values of k.

Terms

a(0) =1a(1) =2a(2) =4a(3) =6a(4) =12a(5) =24a(6) =48a(7) =60a(8) =120a(9) =240a(10) =360a(11) =840a(12) =1680a(13) =2520a(14) =5040a(15) =10080a(16) =15120a(17) =25200a(18) =27720a(19) =55440a(20) =110880a(21) =166320a(22) =277200a(23) =720720a(24) =1441440a(25) =2162160a(26) =3603600a(27) =7207200a(28) =10810800a(29) =36756720