The "root sum" of a Pick 3 combination is an extension of the sums principle: an addition of a combination's three digits. However, unlike a regular sum, if the sum is more than one digit in length, the sum's digits are added — and added again if necessary — until the resulting sum is one digit in length.
ROOT SUMS PICK 3
0 (1) 000
1 (24) 001, 019, 028, 037, 046, 055, 118, 127, 136, 145, 199, 226, 235, 244, 289, 334, 379, 388, 469, 478, 559, 568, 577, 667
2 (24) 002, 011, 029, 038, 047, 056, 119, 128, 137, 146, 155, 227, 236, 245, 299, 335, 344, 389, 479, 488, 569, 578, 668, 677
3 (25) 003, 012, 039, 048, 057, 066, 111, 129, 138, 147, 156, 228, 237, 246, 255, 336, 345, 399, 444, 489, 579, 588, 669, 678, 777
4 (24) 004, 013, 022, 049, 058, 067, 112, 139, 148, 157, 166, 229, 238, 247, 256, 337, 346, 355, 445, 499, 589, 679, 688, 778
5 (24) 005, 014, 023, 059, 068, 077, 113, 122, 149, 158, 167, 239, 248, 257, 266, 338, 347, 356, 446, 455, 599, 689, 779, 788
6 (25) 006, 015, 024, 033, 069, 078, 114, 123, 159, 168, 177, 222, 249, 258, 267, 339, 348, 357, 366, 447, 456, 555, 699, 789, 888
7 (24) 007, 016, 025, 034, 079, 088, 115, 124, 133, 169, 178, 223, 259, 268, 277, 349, 358, 367, 448, 457, 466, 556, 799, 889
8 (24) 008, 017, 026, 035, 044, 089, 116, 125, 134, 179, 188, 224, 233, 269, 278, 359, 368, 377, 449, 458, 467, 557, 566, 899
9 (25) 009, 018, 027, 036, 045, 099, 117, 126, 135, 144, 189, 225, 234, 279, 288, 333, 369, 378, 459, 468, 477, 558, 567, 666, 999
