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 495 and 6174 (Posted on 2018-05-24)
495 and 6174

What is so special about those numbers?

If you don't know, make some research on the web and sum-up your results.

 See The Solution Submitted by Ady TZIDON No Rating

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 research and exploration (spoiler) | Comment 1 of 3
A Google search finds that 6174 is known as Kaprekar's constant. To quote Wikipedia:

<blockquote>
Take any four-digit number, using at least two different digits. (Leading zeros are allowed.)

Arrange the digits in descending and then in ascending order to get two four-digit numbers, adding leading zeros if necessary.

Subtract the smaller number from the bigger number.
Go back to step 2 and repeat.

The above process, known as Kaprekar's routine, will always reach its fixed point, 6174, in at most 8 iterations. Once 6174 is reached, the process will continue yielding 7641 - 1467 = 6174. For example, choose 3524:

5432 - 2345 = 3087
8730 - 0378 = 8352
8532 - 2358 = 6174
7641 - 1467 = 6174

The only four-digit numbers for which Kaprekar's routine does not reach 6174 are repdigits such as 1111, which give the result 0000 after a single iteration. All other four-digit numbers eventually reach 6174 if leading zeros are used to keep the number of digits at 4.

Note that there can be analogous fixed points for digit lengths other than four, for instance if we use 3-digit numbers then most sequences (i.e., other than repdigits such as 111) will terminate in the value 495 in at most 6 iterations. Sometimes these numbers (495, 6174, and their counterparts in other digit lengths or in bases other than 10) are called "Kaprekar constants".

t;</blockquote>
Below is an abbreviated list of the paths that lead to 6174, showing only the stage at which the digits are in ascending sequence (zeros not shown). If a number appears as a later stage in some other number, it doesn't have its own entry and must be searched for within the list, such as 1899, the second step after 0001.

1 999 1899 288 2358 1467
2 1899 288 2358 1467
3 2799 1377 3456 378 2358 1467
4 3699 2466 1467
5 4599 3555 1899 288 2358 1467
6 4599 3555 1899 288 2358 1467
7 3699 2466 1467
8 2799 1377 3456 378 2358 1467
9 1899 288 2358 1467
11 189 1269 2358 1467
12 288 2358 1467
13 378 2358 1467
14 468 1278 3447 3699 2466 1467
15 558 2799 1377 3456 378 2358 1467
16 468 1278 3447 3699 2466 1467
17 378 2358 1467
18 288 2358 1467
19 189 1269 2358 1467
22 1278 3447 3699 2466 1467
23 1377 3456 378 2358 1467
24 1467
25 1557 4599 3555 1899 288 2358 1467
26 1467
27 1377 3456 378 2358 1467
28 1278 3447 3699 2466 1467
29 1179 2358 1467
33 2367 2556 3699 2466 1467
34 2466 1467
35 2556 3699 2466 1467
36 2466 1467
37 2367 2556 3699 2466 1467
38 2268 3456 378 2358 1467
39 1269 2358 1467
44 3456 378 2358 1467
45 3555 1899 288 2358 1467
46 3456 378 2358 1467
47 3357 1467
48 2358 1467
49 1359 1278 3447 3699 2466 1467
55 4455 189 1269 2358 1467
56 4446 1899 288 2358 1467
57 3447 3699 2466 1467
58 2448 4599 3555 1899 288 2358 1467
59 1449 2799 1377 3456 378 2358 1467
66 3456 378 2358 1467
67 3357 1467
68 2358 1467
69 1359 1278 3447 3699 2466 1467
77 2367 2556 3699 2466 1467
78 2268 3456 378 2358 1467
79 1269 2358 1467
88 1278 3447 3699 2466 1467
89 1179 2358 1467
99 189 1269 2358 1467
111 999 1899 288 2358 1467
112 1899 288 2358 1467
113 2799 1377 3456 378 2358 1467
114 3699 2466 1467
115 4599 3555 1899 288 2358 1467
116 4599 3555 1899 288 2358 1467
117 3699 2466 1467
118 2799 1377 3456 378 2358 1467
119 1899 288 2358 1467
122 288 2358 1467
123 378 2358 1467
124 468 1278 3447 3699 2466 1467
125 558 2799 1377 3456 378 2358 1467
126 468 1278 3447 3699 2466 1467
127 378 2358 1467
128 288 2358 1467
129 189 1269 2358 1467
133 1377 3456 378 2358 1467
134 1467
135 1557 4599 3555 1899 288 2358 1467
136 1467
137 1377 3456 378 2358 1467
138 1278 3447 3699 2466 1467
139 1179 2358 1467
144 2466 1467
145 2556 3699 2466 1467
146 2466 1467
147 2367 2556 3699 2466 1467
148 2268 3456 378 2358 1467
149 1269 2358 1467
155 3555 1899 288 2358 1467
156 3456 378 2358 1467
157 3357 1467
158 2358 1467
159 1359 1278 3447 3699 2466 1467
166 4446 1899 288 2358 1467
167 3447 3699 2466 1467
168 2448 4599 3555 1899 288 2358 1467
169 1449 2799 1377 3456 378 2358 1467
177 3357 1467
178 2358 1467
179 1359 1278 3447 3699 2466 1467
188 2268 3456 378 2358 1467
199 1179 2358 1467
222 1899 288 2358 1467
223 2799 1377 3456 378 2358 1467
224 3699 2466 1467
225 4599 3555 1899 288 2358 1467
226 4599 3555 1899 288 2358 1467
227 3699 2466 1467
228 2799 1377 3456 378 2358 1467
229 1899 288 2358 1467
233 378 2358 1467
234 468 1278 3447 3699 2466 1467
235 558 2799 1377 3456 378 2358 1467
236 468 1278 3447 3699 2466 1467
237 378 2358 1467
238 288 2358 1467
239 189 1269 2358 1467
244 1467
245 1557 4599 3555 1899 288 2358 1467
246 1467
247 1377 3456 378 2358 1467
248 1278 3447 3699 2466 1467
249 1179 2358 1467
255 2556 3699 2466 1467
256 2466 1467
257 2367 2556 3699 2466 1467
258 2268 3456 378 2358 1467
259 1269 2358 1467
266 3456 378 2358 1467
267 3357 1467
268 2358 1467
269 1359 1278 3447 3699 2466 1467
277 3447 3699 2466 1467
278 2448 4599 3555 1899 288 2358 1467
279 1449 2799 1377 3456 378 2358 1467
289 1359 1278 3447 3699 2466 1467
299 1269 2358 1467
333 2799 1377 3456 378 2358 1467
334 3699 2466 1467
335 4599 3555 1899 288 2358 1467
336 4599 3555 1899 288 2358 1467
337 3699 2466 1467
338 2799 1377 3456 378 2358 1467
339 1899 288 2358 1467
344 468 1278 3447 3699 2466 1467
345 558 2799 1377 3456 378 2358 1467
346 468 1278 3447 3699 2466 1467
347 378 2358 1467
348 288 2358 1467
349 189 1269 2358 1467
355 1557 4599 3555 1899 288 2358 1467
356 1467
357 1377 3456 378 2358 1467
358 1278 3447 3699 2466 1467
359 1179 2358 1467
366 2466 1467
367 2367 2556 3699 2466 1467
368 2268 3456 378 2358 1467
369 1269 2358 1467
377 3357 1467
379 1359 1278 3447 3699 2466 1467
388 2448 4599 3555 1899 288 2358 1467
389 1449 2799 1377 3456 378 2358 1467
399 1359 1278 3447 3699 2466 1467
444 3699 2466 1467
445 4599 3555 1899 288 2358 1467
446 4599 3555 1899 288 2358 1467
447 3699 2466 1467
448 2799 1377 3456 378 2358 1467
449 1899 288 2358 1467
455 558 2799 1377 3456 378 2358 1467
456 468 1278 3447 3699 2466 1467
457 378 2358 1467
458 288 2358 1467
459 189 1269 2358 1467
466 1467
467 1377 3456 378 2358 1467
469 1179 2358 1467
477 2367 2556 3699 2466 1467
478 2268 3456 378 2358 1467
479 1269 2358 1467
488 2358 1467
489 1359 1278 3447 3699 2466 1467
499 1449 2799 1377 3456 378 2358 1467
555 4599 3555 1899 288 2358 1467
556 4599 3555 1899 288 2358 1467
557 3699 2466 1467
559 1899 288 2358 1467
566 468 1278 3447 3699 2466 1467
567 378 2358 1467
568 288 2358 1467
569 189 1269 2358 1467
577 1377 3456 378 2358 1467
578 1278 3447 3699 2466 1467
579 1179 2358 1467
588 2268 3456 378 2358 1467
589 1269 2358 1467
599 1359 1278 3447 3699 2466 1467
666 4599 3555 1899 288 2358 1467
667 3699 2466 1467
668 2799 1377 3456 378 2358 1467
669 1899 288 2358 1467
677 378 2358 1467
678 288 2358 1467
679 189 1269 2358 1467
688 1278 3447 3699 2466 1467
689 1179 2358 1467
699 1269 2358 1467
777 3699 2466 1467
778 2799 1377 3456 378 2358 1467
779 1899 288 2358 1467
788 288 2358 1467
789 189 1269 2358 1467
799 1179 2358 1467
888 2799 1377 3456 378 2358 1467
889 1899 288 2358 1467
899 189 1269 2358 1467
1112 999 1899 288 2358 1467
1113 1899 288 2358 1467
1114 2799 1377 3456 378 2358 1467
1115 3699 2466 1467
1116 4599 3555 1899 288 2358 1467
1117 4599 3555 1899 288 2358 1467
1118 3699 2466 1467
1119 2799 1377 3456 378 2358 1467
1122 189 1269 2358 1467
1123 288 2358 1467
1124 378 2358 1467
1125 468 1278 3447 3699 2466 1467
1126 558 2799 1377 3456 378 2358 1467
1127 468 1278 3447 3699 2466 1467
1128 378 2358 1467
1129 288 2358 1467
1133 1278 3447 3699 2466 1467
1134 1377 3456 378 2358 1467
1135 1467
1136 1557 4599 3555 1899 288 2358 1467
1137 1467
1138 1377 3456 378 2358 1467
1139 1278 3447 3699 2466 1467
1144 2367 2556 3699 2466 1467
1145 2466 1467
1146 2556 3699 2466 1467
1147 2466 1467
1148 2367 2556 3699 2466 1467
1149 2268 3456 378 2358 1467
1155 3456 378 2358 1467
1156 3555 1899 288 2358 1467
1157 3456 378 2358 1467
1158 3357 1467
1159 2358 1467
1166 4455 189 1269 2358 1467
1167 4446 1899 288 2358 1467
1168 3447 3699 2466 1467
1169 2448 4599 3555 1899 288 2358 1467
1177 3456 378 2358 1467
1178 3357 1467
1188 2367 2556 3699 2466 1467
1189 2268 3456 378 2358 1467
1199 1278 3447 3699 2466 1467
1222 999 1899 288 2358 1467
1223 1899 288 2358 1467
1224 2799 1377 3456 378 2358 1467
1225 3699 2466 1467
1226 4599 3555 1899 288 2358 1467
1227 4599 3555 1899 288 2358 1467
1228 3699 2466 1467
1229 2799 1377 3456 378 2358 1467
1233 288 2358 1467
1234 378 2358 1467
1235 468 1278 3447 3699 2466 1467
1236 558 2799 1377 3456 378 2358 1467
1237 468 1278 3447 3699 2466 1467
1238 378 2358 1467
1239 288 2358 1467
1244 1377 3456 378 2358 1467
1245 1467
1246 1557 4599 3555 1899 288 2358 1467
1247 1467
1248 1377 3456 378 2358 1467
1249 1278 3447 3699 2466 1467
1255 2466 1467
1256 2556 3699 2466 1467
1257 2466 1467
1258 2367 2556 3699 2466 1467
1259 2268 3456 378 2358 1467
1266 3555 1899 288 2358 1467
1267 3456 378 2358 1467
1268 3357 1467
1277 4446 1899 288 2358 1467
1279 2448 4599 3555 1899 288 2358 1467
1288 3357 1467
1289 2358 1467
1299 2268 3456 378 2358 1467
1333 1899 288 2358 1467
1334 2799 1377 3456 378 2358 1467
1335 3699 2466 1467
1336 4599 3555 1899 288 2358 1467
1337 4599 3555 1899 288 2358 1467
1338 3699 2466 1467
1339 2799 1377 3456 378 2358 1467
1344 378 2358 1467
1345 468 1278 3447 3699 2466 1467
1346 558 2799 1377 3456 378 2358 1467
1347 468 1278 3447 3699 2466 1467
1348 378 2358 1467
1349 288 2358 1467
1355 1467
1356 1557 4599 3555 1899 288 2358 1467
1357 1467
1358 1377 3456 378 2358 1467
1366 2556 3699 2466 1467
1367 2466 1467
1368 2367 2556 3699 2466 1467
1369 2268 3456 378 2358 1467
1378 3357 1467
1379 2358 1467
1388 3447 3699 2466 1467
1389 2448 4599 3555 1899 288 2358 1467
1399 2358 1467
1444 2799 1377 3456 378 2358 1467
1445 3699 2466 1467
1446 4599 3555 1899 288 2358 1467
1447 4599 3555 1899 288 2358 1467
1448 3699 2466 1467
1455 468 1278 3447 3699 2466 1467
1456 558 2799 1377 3456 378 2358 1467
1457 468 1278 3447 3699 2466 1467
1458 378 2358 1467
1459 288 2358 1467
1466 1557 4599 3555 1899 288 2358 1467
1468 1377 3456 378 2358 1467
1469 1278 3447 3699 2466 1467
1477 2466 1467
1478 2367 2556 3699 2466 1467
1479 2268 3456 378 2358 1467
1488 3357 1467
1489 2358 1467
1499 2448 4599 3555 1899 288 2358 1467
1555 3699 2466 1467
1556 4599 3555 1899 288 2358 1467
1558 3699 2466 1467
1559 2799 1377 3456 378 2358 1467
1566 558 2799 1377 3456 378 2358 1467
1567 468 1278 3447 3699 2466 1467
1568 378 2358 1467
1569 288 2358 1467
1577 1467
1578 1377 3456 378 2358 1467
1579 1278 3447 3699 2466 1467
1588 2367 2556 3699 2466 1467
1589 2268 3456 378 2358 1467
1599 2358 1467
1666 4599 3555 1899 288 2358 1467
1667 4599 3555 1899 288 2358 1467
1668 3699 2466 1467
1669 2799 1377 3456 378 2358 1467
1677 468 1278 3447 3699 2466 1467
1678 378 2358 1467
1679 288 2358 1467
1688 1377 3456 378 2358 1467
1689 1278 3447 3699 2466 1467
1699 2268 3456 378 2358 1467
1777 4599 3555 1899 288 2358 1467
1778 3699 2466 1467
1779 2799 1377 3456 378 2358 1467
1788 378 2358 1467
1789 288 2358 1467
1799 1278 3447 3699 2466 1467
1888 3699 2466 1467
1889 2799 1377 3456 378 2358 1467
1999 2799 1377 3456 378 2358 1467
2223 999 1899 288 2358 1467
2224 1899 288 2358 1467
2225 2799 1377 3456 378 2358 1467
2226 3699 2466 1467
2227 4599 3555 1899 288 2358 1467
2228 4599 3555 1899 288 2358 1467
2229 3699 2466 1467
2233 189 1269 2358 1467
2234 288 2358 1467
2235 378 2358 1467
2236 468 1278 3447 3699 2466 1467
2237 558 2799 1377 3456 378 2358 1467
2238 468 1278 3447 3699 2466 1467
2239 378 2358 1467
2244 1278 3447 3699 2466 1467
2245 1377 3456 378 2358 1467
2246 1467
2247 1557 4599 3555 1899 288 2358 1467
2248 1467
2249 1377 3456 378 2358 1467
2255 2367 2556 3699 2466 1467
2256 2466 1467
2257 2556 3699 2466 1467
2258 2466 1467
2259 2367 2556 3699 2466 1467
2266 3456 378 2358 1467
2267 3555 1899 288 2358 1467
2269 3357 1467
2277 4455 189 1269 2358 1467
2278 4446 1899 288 2358 1467
2279 3447 3699 2466 1467
2288 3456 378 2358 1467
2289 3357 1467
2299 2367 2556 3699 2466 1467
2333 999 1899 288 2358 1467
2334 1899 288 2358 1467
2335 2799 1377 3456 378 2358 1467
2336 3699 2466 1467
2337 4599 3555 1899 288 2358 1467
2338 4599 3555 1899 288 2358 1467
2339 3699 2466 1467
2344 288 2358 1467
2345 378 2358 1467
2346 468 1278 3447 3699 2466 1467
2347 558 2799 1377 3456 378 2358 1467
2348 468 1278 3447 3699 2466 1467
2349 378 2358 1467
2355 1377 3456 378 2358 1467
2356 1467
2357 1557 4599 3555 1899 288 2358 1467
2359 1377 3456 378 2358 1467
2366 2466 1467
2368 2466 1467
2369 2367 2556 3699 2466 1467
2377 3555 1899 288 2358 1467
2378 3456 378 2358 1467
2379 3357 1467
2388 4446 1899 288 2358 1467
2389 3447 3699 2466 1467
2399 3357 1467
2444 1899 288 2358 1467
2445 2799 1377 3456 378 2358 1467
2446 3699 2466 1467
2447 4599 3555 1899 288 2358 1467
2449 3699 2466 1467
2455 378 2358 1467
2456 468 1278 3447 3699 2466 1467
2457 558 2799 1377 3456 378 2358 1467
2458 468 1278 3447 3699 2466 1467
2459 378 2358 1467
2467 1557 4599 3555 1899 288 2358 1467
2468 1467
2469 1377 3456 378 2358 1467
2477 2556 3699 2466 1467
2478 2466 1467
2479 2367 2556 3699 2466 1467
2488 3456 378 2358 1467
2489 3357 1467
2499 3447 3699 2466 1467
2555 2799 1377 3456 378 2358 1467
2557 4599 3555 1899 288 2358 1467
2558 4599 3555 1899 288 2358 1467
2559 3699 2466 1467
2566 468 1278 3447 3699 2466 1467
2567 558 2799 1377 3456 378 2358 1467
2568 468 1278 3447 3699 2466 1467
2569 378 2358 1467
2577 1557 4599 3555 1899 288 2358 1467
2578 1467
2579 1377 3456 378 2358 1467
2588 2466 1467
2589 2367 2556 3699 2466 1467
2599 3357 1467
2666 3699 2466 1467
2667 4599 3555 1899 288 2358 1467
2668 4599 3555 1899 288 2358 1467
2669 3699 2466 1467
2677 558 2799 1377 3456 378 2358 1467
2678 468 1278 3447 3699 2466 1467
2679 378 2358 1467
2688 1467
2689 1377 3456 378 2358 1467
2699 2367 2556 3699 2466 1467
2777 4599 3555 1899 288 2358 1467
2778 4599 3555 1899 288 2358 1467
2779 3699 2466 1467
2788 468 1278 3447 3699 2466 1467
2789 378 2358 1467
2888 4599 3555 1899 288 2358 1467
2889 3699 2466 1467
2899 378 2358 1467
2999 3699 2466 1467
3334 999 1899 288 2358 1467
3335 1899 288 2358 1467
3336 2799 1377 3456 378 2358 1467
3337 3699 2466 1467
3338 4599 3555 1899 288 2358 1467
3339 4599 3555 1899 288 2358 1467
3344 189 1269 2358 1467
3345 288 2358 1467
3346 378 2358 1467
3347 468 1278 3447 3699 2466 1467
3348 558 2799 1377 3456 378 2358 1467
3349 468 1278 3447 3699 2466 1467
3355 1278 3447 3699 2466 1467
3356 1377 3456 378 2358 1467
3358 1557 4599 3555 1899 288 2358 1467
3359 1467
3366 2367 2556 3699 2466 1467
3367 2466 1467
3368 2556 3699 2466 1467
3369 2466 1467
3377 3456 378 2358 1467
3378 3555 1899 288 2358 1467
3379 3456 378 2358 1467
3388 4455 189 1269 2358 1467
3389 4446 1899 288 2358 1467
3399 3456 378 2358 1467
3444 999 1899 288 2358 1467
3445 1899 288 2358 1467
3446 2799 1377 3456 378 2358 1467
3448 4599 3555 1899 288 2358 1467
3449 4599 3555 1899 288 2358 1467
3455 288 2358 1467
3457 468 1278 3447 3699 2466 1467
3458 558 2799 1377 3456 378 2358 1467
3459 468 1278 3447 3699 2466 1467
3466 1377 3456 378 2358 1467
3467 1467
3468 1557 4599 3555 1899 288 2358 1467
3469 1467
3477 2466 1467
3478 2556 3699 2466 1467
3479 2466 1467
3488 3555 1899 288 2358 1467
3489 3456 378 2358 1467
3499 4446 1899 288 2358 1467
3556 2799 1377 3456 378 2358 1467
3557 3699 2466 1467
3558 4599 3555 1899 288 2358 1467
3559 4599 3555 1899 288 2358 1467
3566 378 2358 1467
3567 468 1278 3447 3699 2466 1467
3568 558 2799 1377 3456 378 2358 1467
3569 468 1278 3447 3699 2466 1467
3577 1467
3578 1557 4599 3555 1899 288 2358 1467
3579 1467
3588 2556 3699 2466 1467
3589 2466 1467
3599 3456 378 2358 1467
3666 2799 1377 3456 378 2358 1467
3667 3699 2466 1467
3668 4599 3555 1899 288 2358 1467
3669 4599 3555 1899 288 2358 1467
3677 468 1278 3447 3699 2466 1467
3678 558 2799 1377 3456 378 2358 1467
3679 468 1278 3447 3699 2466 1467
3688 1557 4599 3555 1899 288 2358 1467
3689 1467
3777 3699 2466 1467
3778 4599 3555 1899 288 2358 1467
3779 4599 3555 1899 288 2358 1467
3788 558 2799 1377 3456 378 2358 1467
3789 468 1278 3447 3699 2466 1467
3799 1467
3888 4599 3555 1899 288 2358 1467
3889 4599 3555 1899 288 2358 1467
3899 468 1278 3447 3699 2466 1467
3999 4599 3555 1899 288 2358 1467
4445 999 1899 288 2358 1467
4447 2799 1377 3456 378 2358 1467
4448 3699 2466 1467
4449 4599 3555 1899 288 2358 1467
4456 288 2358 1467
4457 378 2358 1467
4458 468 1278 3447 3699 2466 1467
4459 558 2799 1377 3456 378 2358 1467
4466 1278 3447 3699 2466 1467
4467 1377 3456 378 2358 1467
4468 1467
4469 1557 4599 3555 1899 288 2358 1467
4477 2367 2556 3699 2466 1467
4478 2466 1467
4479 2556 3699 2466 1467
4488 3456 378 2358 1467
4489 3555 1899 288 2358 1467
4499 4455 189 1269 2358 1467
4555 999 1899 288 2358 1467
4556 1899 288 2358 1467
4557 2799 1377 3456 378 2358 1467
4558 3699 2466 1467
4559 4599 3555 1899 288 2358 1467
4566 288 2358 1467
4567 378 2358 1467
4568 468 1278 3447 3699 2466 1467
4569 558 2799 1377 3456 378 2358 1467
4577 1377 3456 378 2358 1467
4578 1467
4579 1557 4599 3555 1899 288 2358 1467
4588 2466 1467
4589 2556 3699 2466 1467
4666 1899 288 2358 1467
4667 2799 1377 3456 378 2358 1467
4668 3699 2466 1467
4669 4599 3555 1899 288 2358 1467
4677 378 2358 1467
4678 468 1278 3447 3699 2466 1467
4679 558 2799 1377 3456 378 2358 1467
4688 1467
4689 1557 4599 3555 1899 288 2358 1467
4699 2556 3699 2466 1467
4777 2799 1377 3456 378 2358 1467
4778 3699 2466 1467
4779 4599 3555 1899 288 2358 1467
4788 468 1278 3447 3699 2466 1467
4789 558 2799 1377 3456 378 2358 1467
4799 1557 4599 3555 1899 288 2358 1467
4888 3699 2466 1467
4889 4599 3555 1899 288 2358 1467
4899 558 2799 1377 3456 378 2358 1467
4999 4599 3555 1899 288 2358 1467
5556 999 1899 288 2358 1467
5557 1899 288 2358 1467
5558 2799 1377 3456 378 2358 1467
5559 3699 2466 1467
5566 189 1269 2358 1467
5567 288 2358 1467
5568 378 2358 1467
5569 468 1278 3447 3699 2466 1467
5577 1278 3447 3699 2466 1467
5578 1377 3456 378 2358 1467
5579 1467
5588 2367 2556 3699 2466 1467
5589 2466 1467
5599 3456 378 2358 1467
5666 999 1899 288 2358 1467
5667 1899 288 2358 1467
5668 2799 1377 3456 378 2358 1467
5669 3699 2466 1467
5677 288 2358 1467
5678 378 2358 1467
5679 468 1278 3447 3699 2466 1467
5688 1377 3456 378 2358 1467
5689 1467
5699 2466 1467
5777 1899 288 2358 1467
5778 2799 1377 3456 378 2358 1467
5779 3699 2466 1467
5788 378 2358 1467
5789 468 1278 3447 3699 2466 1467
5799 1467
5888 2799 1377 3456 378 2358 1467
5889 3699 2466 1467
5899 468 1278 3447 3699 2466 1467
5999 3699 2466 1467
6667 999 1899 288 2358 1467
6668 1899 288 2358 1467
6669 2799 1377 3456 378 2358 1467
6677 189 1269 2358 1467
6678 288 2358 1467
6679 378 2358 1467
6688 1278 3447 3699 2466 1467
6689 1377 3456 378 2358 1467
6699 2367 2556 3699 2466 1467
6777 999 1899 288 2358 1467
6778 1899 288 2358 1467
6779 2799 1377 3456 378 2358 1467
6788 288 2358 1467
6789 378 2358 1467
6799 1377 3456 378 2358 1467
6888 1899 288 2358 1467
6889 2799 1377 3456 378 2358 1467
6899 378 2358 1467
6999 2799 1377 3456 378 2358 1467
7778 999 1899 288 2358 1467
7779 1899 288 2358 1467
7788 189 1269 2358 1467
7789 288 2358 1467
7799 1278 3447 3699 2466 1467
7888 999 1899 288 2358 1467
7889 1899 288 2358 1467
7899 288 2358 1467
7999 1899 288 2358 1467
8889 999 1899 288 2358 1467
8899 189 1269 2358 1467
8999 999 1899 288 2358 1467

You can't tell from the list but the following numbers (with leading zeros added to make 4 digits) lead directly to 6174:

24
134
244
1135
1245
1355
2246
2356
2466
3357
3467
3577
4468
4578
4688
5579
5689
5799

while those such as 2358, lead to those digits but not yet in that order until the process is done one more time.

Edited on May 25, 2018, 4:13 pm

Edited on May 25, 2018, 4:20 pm
 Posted by Charlie on 2018-05-24 13:33:00

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