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RIOPLATENSE 2014 Problem 2

    El Chapulín observed that the number 20142014 has an unusual property. By placing its eight positive divisors in increasing order, the fifth divisor is equal to three times the third minus 44 . A number of eight divisors with this unusual property is called the red number . How many red numbers smaller than 20142014 exist?

    Dataset text AI-MO AoPS. Quoted with source.

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