REVERSAL-ADDITION PALINDROME TEST ON 1073600

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 1073600:
1073600
+ 0063701
step 1: 1137301
+ 1037311
step 2: 2174612
+ 2164712
step 3: 4339324
+ 4239334
step 4: 8578658
+ 8568758
step 5: 17147416
+ 61474171
step 6: 78621587
+ 78512687
step 7: 157134274
+ 472431751
step 8: 629566025
+ 520665926
step 9: 1150231951
+ 1591320511
step 10: 2741552462
+ 2642551472
step 11: 5384103934
+ 4393014835
step 12: 9777118769
+ 9678117779
step 13: 19455236548
+ 84563255491
step 14: 104018492039
+ 930294810401
step 15: 1034313302440
+ 0442033134301
step 16: 1476346436741
1073600 takes 16 iterations / steps to resolve into a 13 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.)

DigitsNumberResult
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 2,502,375 times since Saturday, March 9th, 2002.)