Divisor 6053

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

The "Maksim Ivanov Test" for Divisibility by 6053

To determine if any number is divisible by 6053, apply the "Maksim Ivanov Test":

  1. If your number ("X") has 8 digits or more, separate the last (smallest) 7 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 8 digits, L = 0 and therefore R = X.
  2. Multiply L by 444 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and add 1816 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 6053. That is, your original number is divisible by 6053 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 6053-times tables, it should be easy to visually see if Y is divisible by 6053. If the Y is still much larger than 6053, the above process can be repeated until it does reduce to within small multiples of 6053.

Easy!