World!Of
Numbers

WON plate
|

Special operations leading towards palindromes

2664662 is a very unique palindrome.
It is equal to 121 times the sum of the next 121 integers [Patrick De Geest]
or in other words :
2664662 = 121 x (122+123+...+241+242)
2664662 = 121 x (22022)

I found two more palindromic products with this property
[Original idea by G. L. Honaker, Jr.]
but whereby the terms aren't themselves palindromic.
9826289 = 187 x the sum of the next 187 integers
4128458548214 = 14014 x the sum of the next 14014 integers

If you find a next one please add it to A037051

icon4

Three palindromes 99, 313 and 1441 are related in the following way !

Sum_of_digits{144199} = 1441 [Patrick De Geest]
and is composed of 313 digits [Carlos Rivera]


A000054 Prime Curios! Prime Puzzle
Wikipedia 54 Le Nombre 54 Numberland 54
























[ TOP OF PAGE]


( © All rights reserved )

Patrick De Geest - Belgium - Short Bio - Some Pictures
E-mail address : pdg@worldofnumbers.com