You could memorize how many emojis vs. a long number. Say you got 5 💀, 2 🇹🇼, 3 👀, and 7 💩 or take a special number like a pin and attribute emojis to each digit. Doesn't matter how you remember it, password manager or not, the added digits are great to have as there are more symbols to crack. This makes common passwords less common as there is a possibility that there is a larger pool of common passwords that dilute the probability table.("flattening" a bell curve) This is a smaller increase in the amount of work needed to go through a dictionary, custom made, standard, or list of leaked common passwords. However, it is beneficial to create large delays in password cracking for situations where the attack is done at a large scale vs. a targeted approach.

Limiting to integer may not seem like a good idea, but the symbols and digits are all converted to binary either way. So instead of integers, why not just cut the middle man and just have it all be binary in the first place? 128 bits can provide 2^128 unique values to use. A computer can easily make a random number, and the use of a password manager can save it. After this, it turns into a key signing system, [cryptography](https://en.wikipedia.org/wiki/Key_(cryptography)). In the end, passwords are dumb and we want to use them because we like the feeling of knowing the secret magic phrase/word that can be easily be shared through most forms of communication, especially verbal.

Sorry about the rant/brain dump. I just wrote whatever came to mind