Question 370041
<pre>Since I am not divisible by 2, I am an odd integer.

Odd integers all end with 1, 3, 5, 7, 9. 

Since the sum of my 3 digits is only 4, my last digit can only be 1 or 3.

If my last digit were 3, then that would leave only 1 for my first two digits
to have as a sum.  Then I could be only 103, but 103 is not a multiple of 7.
  
Therefore my last digit must be 1.

Since my first two digits must have sum 3, they can only be 12, 21 or 30.

So I can only be 121, 211, or 301.  Of these only 301 is divisible by
7.  So I am 301.

Edwin</pre>