---
id: 5900f3971000cf542c50feaa
title: 'Problem 43: Sub-string divisibility'
challengeType: 5
forumTopicId: 302100
dashedName: problem-43-sub-string-divisibility
---
# --description--
The number, 1406357289, is a 0 to 9 pandigital number because it is made up of each of the digits 0 to 9 in some order, but it also has a rather interesting sub-string divisibility property.
Let d1 be the 1st digit, d2 be the 2nd digit, and so on. In this way, we note the following:
- d2d3d4 = 406 is divisible by 2
- d3d4d5 = 063 is divisible by 3
- d4d5d6 = 635 is divisible by 5
- d5d6d7 = 357 is divisible by 7
- d6d7d8 = 572 is divisible by 11
- d7d8d9 = 728 is divisible by 13
- d8d9d10 = 289 is divisible by 17
Find the numbers of all 0 to 9 pandigital numbers with this property.
# --hints--
`substringDivisibility()` should return an array.
```js
assert(Array.isArray(substringDivisibility()));
```
`substringDivisibility()` should return [ 1430952867, 1460357289, 1406357289, 4130952867, 4160357289, 4106357289 ].
```js
assert.sameMembers(substringDivisibility(), [
1430952867,
1460357289,
1406357289,
4130952867,
4160357289,
4106357289
]);
```
You should not copy and return the array.
```js
assert(
!__helpers
.removeJSComments(code)
.match(
/(1430952867)|(1460357289)|(1406357289)|(4130952867)|(4160357289)|(4106357289)/
)
);
```
# --seed--
## --seed-contents--
```js
function substringDivisibility() {
return [];
}
substringDivisibility();
```
# --solutions--
```js
// solution required
```