> For the complete documentation index, see [llms.txt](https://trizen.gitbook.io/sidef-lang/llms.txt). Markdown versions of documentation pages are available by appending `.md` to page URLs; this page is available as [Markdown](https://trizen.gitbook.io/sidef-lang/programming_tasks/p/proper_divisors.md).

# Proper divisors

```ruby
func propdiv (n) {
    n.divisors.first(-1)
}

{|i| printf("%2d: %s\n", i, propdiv(i)) } << 1..10

var max = 0
var candidates = []

for i in (1..20_000) {
    var divs = propdiv(i).len
    if (divs > max) {
        candidates = []
        max = divs
    }
    candidates << i if (divs == max)
}

say "max = #{max}, candidates = #{candidates}"
```

#### Output:

```
 1: []
 2: [1]
 3: [1]
 4: [1, 2]
 5: [1]
 6: [1, 2, 3]
 7: [1]
 8: [1, 2, 4]
 9: [1, 3]
10: [1, 2, 5]
max = 79, candidates = [15120, 18480]
```