Divisor 10883

To determine if any number is divisible by 10883, apply the "Alex Test":

1. If your number ("X") has 7 digits or more, separate the last (smallest) 6 digits from the rest. This makes two smaller numbers, call them L^eft and R^ight (note: don't add in trailing zeros to L). If there are fewer than 7 digits, L = 0 and therefore R = X.
2. Multiply L by 1236 and subtract this from R.
3. Take that result and cross off its final digit (units). Take this new number and add 3265 times the digit you just crossed off. Call this final result "Y".
4. Y will be much smaller than X, but we have preserved divisibility by 10883. That is, your original number is divisible by 10883 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 10883-times tables, it should be easy to visually see if Y is divisible by 10883. If the Y is still much larger than 10883, the above process can be repeated until it does reduce to within small multiples of 10883.

Easy!