Divisor 20411

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

The "Gelada Test" for Divisibility by 20411

To determine if any number is divisible by 20411, apply the "Gelada 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 Left and Right (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 139 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 2041 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 20411. That is, your original number is divisible by 20411 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 20411-times tables, it should be easy to visually see if Y is divisible by 20411. If the Y is still much larger than 20411, the above process can be repeated until it does reduce to within small multiples of 20411.

Easy!