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This entry was posted in Math Beauty, Number Puzzles and tagged 1462, Beautiful Number. Bookmark the permalink.

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I like the digit reversal of one of the factors idea, It seems there are quite a number of them, however, there are far fewer that have 2 sets of divisors for a number, these are the first 4

63504 {{144,441},{252,252}}

101556 {{156,651},{273,372}}

144648 {{168,861},{294,492}}

185472 {{276,672},{384,483}}.

<=1000000000 there are 123 in total this is the last one

999739026 {{14586,68541},{28743,34782}}

In all those not one with 3 ways was found, I'm wondering if there are any with 3 ways, I can't see any reason to say otherwise it may be a challenge.

Paul

Hi, check out my recent post https://benvitalenum3ers.wordpress.com/2014/06/01/smallest-integer-that-can-be-expressed-as-product-of-a-number-and-its-reversed/

Please also check out this https://benvitalenum3ers.wordpress.com/2014/05/31/num3er-234/