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Integer 6643 joins the World!Of Palindromes !

but not through our trustworthy base 10 numbersystem since ...
we first have to convert the number into base 9
before we can reveal the hidden beauty !

66431 = 10101{9}
66432 = 102030201{9}
66433 = 1030607060301{9}

and that  101013 = 1020302013/2 = 10306070603011 in base 10 !

Moreover 6643 is also palindromic in the following bases

6643 = 10101{9}
6643 = 100010001{3}
6643 = 1100111110011{2}


The digits of 6643 are in descending order.
If we do the same with its prime factors 7, 13 and 73 we get

6643 = 73 x 13 x 7

or when concatenated we get the palindrome 73137

Multiplicand 6643 smallest multiplier to arrive at
a palindromic product is... another palindrome

6643 x 44 = 292292

A connection with palindrome 3773
The smallest probable prime (prp) larger than 103773 is

103773 + 6643

Here follows a list of borderprp's with nonpalindromic exponents included :

103159 + 6643
103773 + 6643
107011 + 6643

Can you help extend the list of 6643 written out in various languages ?

[Dutch] Zesduizendzeshonderddrieënveertig
[English] Six thousand six hundred and forty three
[French] Six mille six cent quarante trois
[German]---
[Italian]---
[Spanish] Seis mil seiscientos cuarenta y tres
[Other]---

[ August 22, 2001 ]
Terry Trotter, speaking as a school teacher of math, always asked the students
not to use 'and' except when stating things like '3.14' [three and fourteen hundredths].
That is, to indicate the decimal point.
Also for numbers between 20 and 100, like 43, 78, 55, etc. a hyphen [-] is required.
forty-three, seventy-eight, etc. Realizing manners are different in different
countries, for Terry, 6643 should be written as follows
[English] Six thousand six hundred forty-three



A000098 Prime Curios! Prime Puzzle
Wikipedia 98 Le Nombre 98 Numberland 98














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