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<p></p> <p><b>New page</b></p><div>A '''Lychrel number''' is a natural number which cannot form a palindrome through the iterative process of repeatedly reversing its base 10 digits and adding the resulting numbers.<br /> see: [[wikipedia:Lychrel number]] for details<br /> <br /> ==Similar examples==<br /> ===Kaprekar's constant===<br /> see: [[wikipedia:6174 (number)]] for details.<br /> ===Divide by 9===<br /> Palindromic number occurs by the division of nine after subtracting the reverse of a number.<br /> *Example:<br /> (5463 - 3645)/9 = 202 &lt;- palindrome<br /> <br /> ==Other==<br /> Divide any number by 7 and notice the pattern &lt;code&gt;14-28-57&lt;/code&gt; repeated. The start of the sequence &lt;code&gt;14...&lt;/code&gt; occurs with the following pattern &lt;code&gt;1489657&lt;/code&gt;. The following is for 7 - 21:<br /> &lt;pre&gt;<br /> 1.00000000000000000000<br /> 1.14285714285714285714<br /> 1.28571428571428571428<br /> 1.42857142857142857142<br /> 1.57142857142857142857<br /> 1.71428571428571428571<br /> 1.85714285714285714285<br /> 2.00000000000000000000<br /> 2.14285714285714285714<br /> 2.28571428571428571428<br /> 2.42857142857142857142<br /> 2.57142857142857142857<br /> 2.71428571428571428571<br /> 2.85714285714285714285<br /> 3.00000000000000000000<br /> &lt;/pre&gt;<br /> <br /> 1489657/7 = 212808.14285714285714285714<br /> 1+4+8+9+6+5+7 = 40<br /> <br /> ==External links==<br /> *[[wikipedia:Palindromic number]]<br /> *[[wikipedia:196 (number)]]<br /> *[http://primes.utm.edu/curios/page.php/229.html 229 primes]<br /> <br /> [[Category:Mathematics]]</div>

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