Divisor 16069

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

The "Kevin Anderson Test" for Divisibility by 16069

To determine if any number is divisible by 16069, apply the "Kevin Anderson Test":

  1. If your number ("X") has 9 digits or more, separate the last (smallest) 8 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 9 digits, L = 0 and therefore R = X.
  2. Multiply L by 2613 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and add 1607 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 16069. That is, your original number is divisible by 16069 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 16069-times tables, it should be easy to visually see if Y is divisible by 16069. If the Y is still much larger than 16069, the above process can be repeated until it does reduce to within small multiples of 16069.

Easy!