Sums Shortsums Rootsums

Published:

I goofed in the last example.

The sum of a number is the 3 digits added together. 
The shortsum is the least significant number of the sum.
The rootsum is the digits of the sum added together to get one digit.

Example 488
4+8+8 = 20 sum, 0 shortsum, 2 (2+0) rootsum


>>>>>Shortsums<<<<<
0)
019 028 037 046 127 136 145 235 389 479 569 578
118 226 334 244 055 668 677 488 299
000

1)
029 038 047 056 128 137 146 236 245 489 579 678
001 119 227 335 344 155 669 588 399
777

2)
039 048 057 129 138 147 156 237 246 345 589 679
002 011 228 336 255 066 778 688 499
444

3)
012 049 058 067 139 148 157 238 247 256 346 689
003 229 337 445 355 166 779 788 599
111

4)
013 059 068 149 158 167 239 248 257 347 356 789
004 112 022 338 446 455 266 077 699
888

5)
014 023 069 078 159 168 249 258 267 348 357 456
005 113 122 339 447 366 177 889 799
555

6)
015 024 079 123 169 178 259 268 349 358 367 457
006 114 033 448 556 466 277 088 899
222

7)
016 025 034 089 124 179 269 278 359 368 458 467
007 115 223 133 449 557 566 377 188
999

8)
017 026 035 125 134 189 279 369 378 459 468 567
008 116 224 233 044 558 477 288 099
666

9)
018 027 036 045 126 135 234 289 379 469 478 568
009 117 225 144 559 667 577 388 199
333

>>>>>Rootsums<<<<<
0)
000

1)
019 028 037 046 127 136 145 235 289 379 469 478 568
001 118 226 334 244 055 559 667 577 388 199

2)
029 038 047 056 128 137 146 236 245 389 479 569 578
002 011 119 227 335 344 155 668 677 488 299

3)
012 039 048 057 129 138 147 156 237 246 345 489 579 678
003 228 336 255 066 669 588 399
111 444 777

4)
013 049 058 067 139 148 157 238 247 256 346 589 679
004 112 022 229 337 445 355 166 778 688 499

5)
014 023 059 068 149 158 167 239 248 257 347 356 689
005 113 122 338 446 455 266 077 779 788 599

6)
015 024 069 078 123 159 168 249 258 267 348 357 456 789
006 114 033 339 447 366 177 699
222 555 888

7)
016 025 034 079 124 169 178 259 268 349 358 367 457
007 115 223 133 448 556 466 277 088 889 799

8)
017 026 035 089 125 134 179 269 278 359 368 458 467
008 116 224 233 044 449 557 566 377 188 899

9)
018 027 036 045 126 135 189 234 279 369 378 459 468 567
009 117 225 144 558 477 288 099
333 666 999

Entry #17

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