Divisor 9439

Prime Number:
Yes!
Divisibility test:
The "Centurion4007 Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "Centurion4007 Test" for Divisibility by 9439

To determine if any number is divisible by 9439, apply the "Centurion4007 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 534 and subtract this from R.
  3. Take that result and cross off its final digit (units). Take this new number and add 944 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 9439. That is, your original number is divisible by 9439 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 9439-times tables, it should be easy to visually see if Y is divisible by 9439. If the Y is still much larger than 9439, the above process can be repeated until it does reduce to within small multiples of 9439.

Easy!