##### DWITE Online Computer Programming Contest, February 2008, Problem 2

Integer numbers are made up of *factors*, smallest numbers that when multiplied together form the original number. Factors are always prime. and the original number itself don't count as factors. If a number has no factors, then that number is itself prime. For example, is made up of three factors: (even though is , itself has two factors: ).

We care about this because factors are often involved in cryptography:

When the numbers are very large, no efficient integer factorization algorithm is publicly known; a recent effort which factored a -digit number (RSA-200) took eighteen months and used over half a century of computer time.

Though we'll be dealing with *much* smaller numbers for now.

The input will contain 5 lines, integers .

The output will contain 5 lines – a total number of factors in a number.

#### Sample Input

```
3
4
5
12
32
```

#### Sample Output

```
0
2
0
3
5
```

Problem Resource: DWITE

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