Question 201989
Try  this,  assume  that  the  digits  are  the  same,
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xx,xxx,,,,,or  x+x+x+x+x (Sum  of  Digits)
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if  y = factor,,,,use  5  factors(somewhat  arbitrary),again  all  factors  same
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As a  1st  est,,,5th  root  of  10000 = 6.3,, therefore  use  7
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7^5 = 16,807,,,1+6+8+0+7 = 22  vs  5*7 =35
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trying  8, 8^5 = 32768,,,,3+2+7+6+8=26, vs  5*8=40 
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from  this  pattern  we  see  that  the  power  should  increase, and  the  base  degrease
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following  this  pattern,  bring  us  to  3^9= 19683
Sum  of  Digits  = 1+9+6+8+3 = 27,,,and  9*3 =27
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Might  be  a  number  closer  to  10,000,  but  this  works