A069789 Smallest k>n such that sigma(n) divides sigma(k).

2, 5, 6, 12, 6, 11, 14, 24, 18, 17, 14, 28, 20, 15, 23, 25, 22, 45, 24, 26, 31, 30, 30, 38, 48, 41, 54, 39, 38, 46, 42, 68, 35, 53, 42, 117, 74, 54, 60, 58, 44, 62, 86, 60, 90, 51, 62, 75, 74, 80, 55, 97, 85, 56, 66, 87, 79, 88, 87, 78, 75, 69, 103, 192, 78, 70, 134, 82, 77