Search a number
deficient n.  and  gapful n.

First numbers that belong to both sets:

105, 110, 121, 130, 135, 143, 154, 165, 170, 187, 190, 195, 225, 231, 242, 253, 275, 286, 297, 315, 341, 363, 374, 385, 405, 451, 473, 484, 495, 561, 583, 671, 682, 693, 781, 891, 1001, 1005, 1010, 1030, 1035, 1037, 1053, 1065, 1070, 1090, 1095, 1111, 1125, 1130, 1136, 1150, 1155, 1159, 1183, 1185, 1207, 1210, 1215, 1221, 1245, 1250, 1270, 1274, 1275, 1305, 1310, 1313, 1331, 1335, 1349, 1365, 1370, 1377, 1390, 1395, 1414, 1425, 1441, 1443, 1450, 1455, 1485, 1490, 1510, 1515, 1539, 1545, 1547, 1550, 1551, 1570, 1573, 1605, 1616, 1630, 1635, 1661, 1665, 1670, 1690, 1694, 1695, 1703, 1717, 1725, 1729, 1730, 1755, 1771, 1785, 1790, 1810, 1815, 1833, 1834, 1845, 1850, 1875, 1881, 1887, 1905, 1910, 1919, 1930, 1935, 1963, 1965, 1970, 1990, 1991, 1995, 2025, 2059, 2075, 2093, 2121, 2125, 2175, 2187, 2222, 2225, 2236, 2275, 2323, 2325, 2331, 2332, 2349, 2366, 2375, 2425, 2457, 2475, 2525, 2541, 2553, 2575, 2625, 2626, 2639, 2662, 2675, 2725, 2727, 2751, 2756, 2775, 2783, 2825, 2875, 2882, 2925, 2929, 2961, 2975, 2997, 3003, 3045, 3094, 3115, 3131, 3159, 3185, 3232, 3255, 3268, 3325, 3333, 3367, 3395, 3434, 3441, 3458, 3535, 3549, 3604, 3605, 3663, 3675, 3737, 3745, 3751, 3815, 3838, 3885, 3939, 3955, 3993, 4005, 4141, 4185, 4186, 4275, 4277, 4343, 4365, 4444, 4455, 4459, 4545, 4551, 4635, 4646, 4747, 4773, 4815, 4876, 4905, 4949, 4961, 4995, 5005, 5050, 5115, 5150, 5151, 5187, 5225, 5252, 5278, 5335, 5350, 5353, 5369, 5445, 5450, 5555, 5650, 5661, 5665, 5750, 5757, 5858, 5883, 5885, 5959, 5995, 6045, 6097, 6161, 6175, 6262, 6279, 6305, 6363, 6565, 6572, 6695, 6767, 6771, 6868, 6955, 6969, 6993, 7007, 7125, 7171, 7189, 7275.

Some larger examples :