Divisor 6379

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

The "Xierumeng Test" for Divisibility by 6379

To determine if any number is divisible by 6379, apply the "Xierumeng 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 1503 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and add 638 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 6379. That is, your original number is divisible by 6379 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 6379-times tables, it should be easy to visually see if Y is divisible by 6379. If the Y is still much larger than 6379, the above process can be repeated until it does reduce to within small multiples of 6379.

Easy!