Chase typically closes on your "next closing date", find this in the account details area. This is different for each card you have. Chase does not have one set day of the month pattern for reporting balances and the report goes out to all three agencies, not just one.

I verified this will their lending services who confirmed for each of my cards which days chase would report. They confirmed this tends to be 3 days after the due date which is what my acct details show as well.