小于 2023 的正整数中，是 6 的倍数，且各位数字之和也是 6 的倍数，这样的数有几个？

wintex

請問數學112003

Treenewbee

1位：1个：6
2位：6个：24, 42, 48, 60, 66, 84
3位： 75个：114,132,138,150,156,174,192,198,204,222,228,240,246,264,282,288,312,318,330,336,354,372,378,390,396,402,408,420,426,444,462,468,480,486,510,516,534,552,558,570,576,594,600,606,624,642,648,660,666,684,714,732,738,750,756,774,792,798,804,822,828,840,846,864,882,888,912,918,930,936,954,972,978,990,996
1***：84个：1014,1032,1038,1050,1056,1074,1092,1098,1104,1122,1128,1140,1146,1164,1182,1188,1212,1218,1230,1236,1254,1272,1278,1290,1296,1302,1308,1320,1326,1344,1362,1368,1380,1386,1410,1416,1434,1452,1458,1470,1476,1494,1500,1506,1524,1542,1548,1560,1566,1584,1614,1632,1638,1650,1656,1674,1692,1698,1704,1722,1728,1740,1746,1764,1782,1788,1812,1818,1830,1836,1854,1872,1878,1890,1896,1902,1908,1920,1926,1944,1962,1968,1980,1986
2***： 2004，2022
合计： 168

luyuanhong

楼上 Treenewbee 的解答已收藏。