Cryptographic hashes have many different properties that make them useful and distinct. The most fundamental properties the Collatz function shares with hash fu

Cryptographic hashes have many different properties that make them useful and distinct. The most fundamental properties the Collatz function shares with hash functions include it being deterministic and non-invertable. Applying the modulo operation to map the input/output to a finite field provides uniformity. Change the function to b^k and you have the discrete logarithm problem.