Palindromic Smith Number/Examples/123,455,554,321/Mistake

Source Work

 * The Dictionary
 * $12,345,554,321$
 * $12,345,554,321$

Mistake

 * [$12,345,554,321$ is] a palindromic Smith number.

In fact it is not.


 * $12,345,554,321 = 41 \times 239 \times 271 \times 4649$

while:
 * $1 + 2 + 3 + 4 + 5 + 5 + 5 + 4 + 3 + 2 + 1 = 35$

but:
 * $4 + 1 + 2 + 3 + 9 + 2 + 7 + 1 + 4 + 6 + 4 + 9 = 52$

The mistake arises in the original article by, where he states:


 * There we find palindromic Smith numbers, as $12345554321$, ...

In turn, he is quoting an article in, which has not been checked, so it is not clear exactly where the error occurred.

What we do find, however, is that $123 \, 455 \, 554 \, 321$ is a palindromic Smith number:
 * $1 + 2 + 3 + 4 + 5 + 5 + 5 + 5 + 4 + 3 + 2 + 1 = 40 = 1 + 1 + 4 + 1 + 7 + 3 + 1 + 0 + 1 + 1 + 3 + 7 + 2 + 7 + 1$

It is possible that a mistake has been made in transcription.