Divisor 16057

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

The "AgentHedgepiggle Test" for Divisibility by 16057

To determine if any number is divisible by 16057, apply the "AgentHedgepiggle 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 2154 and add to R.
  3. Take that result and cross off its final digit (units). Take this new number and subtract 4817 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 16057. That is, your original number is divisible by 16057 if (and only if) Y is. Now that it's much smaller, with basic knowledge of your 16057-times tables, it should be easy to visually see if Y is divisible by 16057. If the Y is still much larger than 16057, the above process can be repeated until it does reduce to within small multiples of 16057.

Easy!