Divisor 14207

To determine if any number is divisible by 14207, apply the "Guy Naor Test":

1. If your number ("X") has 6 digits or more, separate the last (smallest) 5 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 6 digits, L = 0 and therefore R = X.
2. Multiply L by 551 and add to R.
3. Take that result and cross off its final digit (units). Take this new number and subtract 4262 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 14207. That is, your original number is divisible by 14207 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 14207-times tables, it should be easy to visually see if Y is divisible by 14207. If the Y is still much larger than 14207, the above process can be repeated until it does reduce to within small multiples of 14207.

Easy!