# Never Ends in 2015

**Number Theory**Level 5

There are some 3-digit integers for which its multiples, never ends in 2015. We call these 3-digit numbers as \(N_{3}\)-*numbers*.

How many \(N_{3}\)-*numbers* are there?

**For example**:

\(100\times n\), where \(n\) is an integer, never ends in 2015; while for 131, we have \(131 \times 8565 = 1122015\), which ends in 2015.

This question is from the set starts, ends, never ends in 2015.