山水娱乐

  • REVERSAL-ADDITION PALINDROME TEST ON 2069

    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 2069:
    2069
    + 9602
    step 1: 11671
    + 17611
    step 2: 29282
    + 28292
    step 3: 57574
    + 47575
    step 4: 105149
    + 941501
    step 5: 1046650
    + 0566401
    step 6: 1613051
    + 1503161
    step 7: 3116212
    + 2126113
    step 8: 5242325
    + 5232425
    step 9: 10474750
    + 05747401
    step 10: 16222151
    + 15122261
    step 11: 31344412
    + 21444313
    step 12: 52788725
    2069 takes 12 iterations / steps to resolve into a 8 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 2,061,633 times since Saturday, March 9th, 2002.)
  • 网上welcome彩票平台手机登录

    银河国际澳门

    万鼎彩票注册

    365体育平台

    久彩票网站

    亚博娱乐首页

    www.qianyi11

    机选一注摇一摇

    金皇朝平台登录