REVERSAL-ADDITION PALINDROME TEST ON 141996 Reverse and Add Process: 1. Pick a number. 2. Reverse its digits and add this value to the original number. 3. If this is not a palindrome, go back to step 2 and repeat. Let's view this Reverse and Add sequence starting with 141996: 141996 + 699141 step 1: 841137 + 731148 step 2: 1572285 + 5822751 step 3: 7395036 + 6305937 step 4: 13700973 + 37900731 step 5: 51601704 + 40710615 step 6: 92312319 + 91321329 step 7: 183633648 + 846336381 step 8: 1029970029 + 9200799201 step 9: 10230769230 + 03296703201 step 10: 13527472431 + 13427472531 step 11: 26954944962 + 26944945962 step 12: 53899890924 + 42909899835 step 13: 96809790759 + 95709790869 step 14: 192519581628 + 826185915291 step 15: 1018705496919 + 9196945078101 step 16: 10215650575020 + 02057505651201 step 17: 12273156226221 + 12262265137221 step 18: 24535421363442 + 24436312453542 step 19: 48971733816984 + 48961833717984 step 20: 97933567534968 + 86943576533979 step 21: 184877144068947 + 749860441778481 step 22: 934737585847428 + 824748585737439 step 23: 1759486171584867 + 7684851716849571 step 24: 9444337888434438 + 8344348887334449 step 25: 17788686775768887 + 78886757768688771 step 26: 96675444544457658 + 85675444544457669 step 27: 182350889088915327 + 723519880988053281 step 28: 905870770076968608 + 806869670077078509 step 29: 1712740440154047117 + 7117404510440472171 step 30: 8830144950594519288 + 8829154950594410388 step 31: 17659299901188929676 + 67692988110999295671 step 32: 85352288012188225347 + 74352288121088225358 step 33: 159704576133276450705 + 507054672331675407951 step 34: 666759248464951858656 + 656858159464842957666 step 35: 1323617407929794816322 + 2236184979297047163231 step 36: 3559802387226841979553 + 3559791486227832089553 step 37: 7119593873454674069106 + 6019604764543783959117 step 38: 13139198637998458028223 + 32282085489973689193131 step 39: 45421284127972147221354 + 45312274127972148212454 step 40: 90733558255944295433808 + 80833459244955285533709 step 41: 171567017500899580967517 + 715769085998005710765171 step 42: 887336103498905291732688 + 886237192509894301633788 step 43: 1773573296008799593366476 + 6746633959978006923753771 step 44: 8520207255986806517120247 + 7420217156086895527020258 step 45: 15940424412073702044140505 + 50504144020737021442404951 step 46: 66444568432810723486545456 + 65454568432701823486544466 step 47: 131899136865512546973089922 + 229980379645215568631998131 step 48: 361879516510728115605088053 + 350880506511827015615978163 step 49: 712760023022555131221066216 + 612660122131555220320067217 step 50: 1325420145154110351541133433 + 3343311451530114515410245231 step 51: 4668731596684224866951378664 141996 takes 51 iterations / steps to resolve into a 28 digit palindrome. REVERSAL-ADDITION PALINDROME RECORDS Most Delayed Palindromic Number for each digit length (Only iteration counts for which no smaller records exist are considered. My program records only the smallest number that resolves for each distinct iteration count. For example, there are 18-digit numbers that resolve in 232 iterations, higher than the 228 iteration record shown for 18-digit numbers, but they were not recorded, as a smaller [17-digit] number already holds the record for 232 iterations.) Digits Number Result 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 89 187 1,297 10,911 150,296 9,008,299 10,309,988 140,669,390 1,005,499,526 10,087,799,570 100,001,987,765 1,600,005,969,190 14,104,229,999,995 100,120,849,299,260 1,030,020,097,997,900 10,442,000,392,399,960 170,500,000,303,619,996 1,186,060,307,891,929,990 solves in 24 iterations. solves in 23 iterations. solves in 21 iterations. solves in 55 iterations. solves in 64 iterations. solves in 96 iterations. solves in 95 iterations. solves in 98 iterations. solves in 109 iterations. solves in 149 iterations. solves in 143 iterations. solves in 188 iterations. solves in 182 iterations. solves in 201 iterations. solves in 197 iterations. solves in 236 iterations. solves in 228 iterations. solves in 261 iterations - World Record! [View all records] This reverse and add program was created by Jason Doucette. Please visit my Palindromes and World Records page. You have permission to use the data from this webpage (with due credit). A link to my website is much appreciated. Thank you. (This program has been run 2,542,414 times since Saturday, March 9th, 2002.)