Systems and methods for inventory management using prime numbers

A system comprising:

• at least one hardware processor;
• and
• a memory storing instructions that, when executed by the at least one hardware processor, cause the system to perform:
• associating item types in a catalogue of item types with respective unique prime numbers, wherein each item type is associated with a corresponding unique prime number, wherein the catalogue is associated with an inventory of items, and wherein the inventory of items includes one or more items of the item types in the catalogue;
• representing the inventory of items by a running product with a single integer, wherein the running product is a multiplicative product of the respective unique prime numbers with respective exponentials, and wherein the exponential of each of the unique prime numbers corresponds to a count of the items of the associated item types;
• determining an availability of an item of an item type in the inventory of items when the running product representing the inventory of items is evenly divisible by a corresponding unique prime number associated with the item type;
• and
• determining a count of the item of the item type in the inventory of items based on a number of results obtained after dividing the running product by the corresponding unique prime number associated with the item type, until the running product is not evenly divisible.

A non-transitory computer readable medium including instructions that, when executed by at least one hardware processor of a computing system, cause the computing system to perform a method comprising:

• associating item types in a catalogue of item types with respective unique prime numbers, wherein each item type is associated with a corresponding unique prime number, wherein the catalogue is associated with an inventory of items, and wherein the inventory of items includes one or more items of the item types in the catalogue;
• representing the inventory of items by a running product with a single integer, wherein the running product is a multiplicative product of the respective unique prime numbers with respective exponentials, and wherein the exponential of each of the unique numbers corresponds to a count of the items of the associated item types;
• determining an availability of an item of an item type in the inventory of items when the running product representing the inventory of items is evenly divisible by a corresponding unique prime number associated with the item type;
• and
• determining a count of the item of the item type in the inventory of items based on a number of results obtained after dividing the running product by the corresponding unique prime number associated with the item type, until the running product is not evenly divisible.