REVERSALADDITION
PALINDROME
TEST ON
739

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 739: 
739
+ 937
step 1: 1676
+ 6761
step 2: 8437
+ 7348
step 3: 15785
+ 58751
step 4: 74536
+ 63547
step 5: 138083
+ 380831
step 6: 518914
+ 419815
step 7: 938729
+ 927839
step 8: 1866568
+ 8656681
step 9: 10523249
+ 94232501
step 10: 104755750
+ 057557401
step 11: 162313151
+ 151313261
step 12: 313626412
+ 214626313
step 13: 528252725
+ 527252825
step 14: 1055505550
+ 0555055501
step 15: 1610561051
+ 1501650161
step 16: 3112211212
+ 2121122113
step 17: 5233333325


739 takes 17 iterations / steps to resolve into a 10 digit palindrome.

REVERSALADDITION
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 18digit numbers that resolve in 232 iterations,
higher than the 228 iteration record shown for 18digit numbers, but they were not recorded,
as a smaller [17digit] 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 1,889,869 times since Saturday, March 9^{th}, 2002.)
