Endless palindrome

Usually, by reversing any number and adding it to the original one it is possible to get a palindromic number after a few steps.

E.g. 64+46=110

110+011=121, which is a palindromic number.It reads the same forwards or backwards.

E.g.

79+97=176

176+671=847

847+748=1595

1595+5951=7546

7546+6457=14003

14003+30041=44044

This is a palindrome. the first number took just 2 steps and the second, 5 steps. but 196 is an exception as John Walker discovered on May 2, 1990.In spite of employing a computer programme to carry out this process of reversal and addition he had to abandon the effort after 2,415,836 steps that yielded a number with one million digits.Still there was no palindrome for 196

#NumberTheory

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
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Comments

I think 592 is also an exception.

Himanshu Goel - 6 years, 5 months ago

There are many other palindrome like 592,790,394.

Himanshu Goel - 6 years, 3 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$