4. Starting from 1, alternately add 4 and 3, to get the following sequence of numbers $1,5,8,12,15,19,22 \ldots \ldots$ The number in this sequence that is closest to 2013 is $\qquad$ .
【Analysis】We can divide this sequence of numbers into two sequences. By extracting the odd terms, we form an arithmetic sequence with the first term 1 and a common difference of 7; by extracting the even terms, we form an arithmetic sequence with the first term 5 and a common difference of 7.
Thus, the general term of the first sequence can be written as $7a+1$, and the general term of the second sequence can be written as $7b+5$. Since $2013=7 \times 287+4$, the number in this sequence closest to 2013 is 2014.