First, the DOE calls them “high school application random number.”
This super helpful chart from Amelie Marian, a NYC parent who delved deep into random lottery numbers and admissions, can help you see where your random/lottery number places you. Here’s a terrific article by here and a bunch of resources to look through: https://medium.com/algorithms-in-the-wild/results-from-the-2023-nyc-school-admission-lottery-surveys-260acc6fa4e6
