I do not understand the question because there are 18 pairs of palidromic numbers that sum to 585.
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The factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, and 585.
39
Given the expression 36y + 9 If y = 16, then 36*16 + 9 = 576 + 9 = 585
117. First, find the prime factorization for 234 and for 585. It may be helpful to include all prime numbers up to the highest factor in the listed factorization, even if a particular prime number has to be listed as to the zero power: 234 = 2 x 32 x 13 = 21 x 32 x 50 x 70 x 110 x 131 585 = 32 x 5 x 13 = 20 x 32 x 51 x 70 x 110 x 131 Then, to find the greatest common divisor, take each factor the fewest number of times that it appears in either factorization. So the greatest common factor will include 20, 32, 50, 70, 110, and 131. The greatest common factor is thus 20 x 32 x 50 x 70 x 110 x 131 = 117.
111+115+118+151+155+158+181+185+188+511+515+518+551+555 +558+581+585+588+811+815+818+851+855+858+881+885+888 = 13,986.