Divisor 4787

Prime Number:
Yes!
Divisibility test:
The "FishBasketGordo Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "FishBasketGordo Test" for Divisibility by 4787

To determine if any number is divisible by 4787, apply the "FishBasketGordo Test":

  1. If your number ("X") has 8 digits or more, separate the last (smallest) 7 digits from the rest. This makes two smaller numbers, call them Left and Right (note: don't add in trailing zeros to L). If there are fewer than 8 digits, L = 0 and therefore R = X.
  2. Multiply L by 43 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 1436 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 4787. That is, your original number is divisible by 4787 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 4787-times tables, it should be easy to visually see if Y is divisible by 4787. If the Y is still much larger than 4787, the above process can be repeated until it does reduce to within small multiples of 4787.

Easy!