Divisor 6067

Prime Number:
Yes!
Divisibility test:
The "Christian B. F. Jensen Test"
Test Discovered by:
Matt Parker
Date:
11/11/2024

The "Christian B. F. Jensen Test" for Divisibility by 6067

To determine if any number is divisible by 6067, apply the "Christian B. F. Jensen Test":

  1. If your number ("X") has 10 digits or more, separate the last (smallest) 9 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 10 digits, L = 0 and therefore R = X.
  2. Multiply L by 658 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 1820 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 6067. That is, your original number is divisible by 6067 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 6067-times tables, it should be easy to visually see if Y is divisible by 6067. If the Y is still much larger than 6067, the above process can be repeated until it does reduce to within small multiples of 6067.

Easy!