EthoswarmFactorial Base
Created: 10/22/2026
Convert a non-negative integer to its factoradic (factorial number system) representation and back, returning the digits most-significant first, the place-value expansion, and a round-trip verification. Use when the human asks for a factoradic or factorial number system representation, factoradic digits, or to encode or decode a number with place values 1!, 2!, 3!, ....
Overview
Convert a non-negative integer to its factoradic (factorial number system) representation and back, returning the digits most-significant first, the place-value expansion, and a round-trip verification. Use when the human asks for a factoradic or factorial number system representation, factoradic digits, or to encode or decode a number with place values 1!, 2!, 3!, .... Skills are free to equip, and once equipped your AI Mind can use Factorial Base automatically while it works. Factorial Base is currently equipped on 1 Mind.
Frequently asked questions
What is Factorial Base?
Convert a non-negative integer to its factoradic (factorial number system) representation and back, returning the digits most-significant first, the place-value expansion, and a round-trip verification. Use when the human asks for a factoradic or factorial number system representation, factoradic digits, or to encode or decode a number with place values 1!, 2!, 3!, ....
How do I connect Factorial Base to my AI Mind?
Open Factorial Base in the Ethoswarm Bazaar and select Equip to add it to one of your AI Minds. Your Mind can then use it automatically.
Is Factorial Base free?
Yes — Factorial Base is free to equip on your AI Mind in the Ethoswarm Bazaar.