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What determines the fancy factor?
There are a bunch of different factors that are generally considered to make a serial number "fancy", including the following:
Radar Numbers - serial numbers that read the same forward and backwards, such as 12344321 or 42899824.
Ladder Numbers - serial numbers that have sequential digits, such as 87654321 or 01234567.
Repeaters - serial numbers that have repeating sequence of digits, such as 22992299.
Binary - serial numbers that are made up of only two different digits, such as 23322333 or 88818181.
"True" Binary - serial numbers that are made up of only 1s and 0s, such as 10011101 or 01101110.
Super Repeater (a.k.a. "Binary Repeaters") - serial numbers that are made up of only two different digits that alternate, such as 08080808 or 52525252.
"True" Binary Repeaters - serial numbers that are made up of only 1s and 0s and that repeat in sequence, such as 01010101 or 10101010.
Solid - every digit is the same, such as 55555555 or 11111111.
And I'm sure there are more I can't think of off the top of my head. In general, though, there needs to be some sort of obvious pattern to the number.