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SMO 2007 Junior Round 1 Question 25

SMO · SMO 2007 Junior Round 1

Question 25

Appending three digits at the end of 2007, one obtains an integer $N$ of seven digits. In order to get $N$ to be the minimal number which is divisible by 3, 5 and 7 simultaneously, what are the three digits that one would append?

Answer-entry note: enter the three-digit string, retaining any leading zero.