Past 17 October the U.S. Treasury can prioritise payments, i.e. make interest and perhaps Social Security payments while blocking others. This makes the U.S. plunging back into a recession probable. It also virtually assures Federal Reserve (The Fed) intervention.
Some time before 1 November all bets are off. There are big payments due that will force the Treasury to be creative (e.g. minting a $1 trillion coin, issuing original-issue-premium debt, or blatantly ignoring the debt limit) or default. The Fed could open swap lines with the banks in an attempt to de-couple the U.S. financial system from its political system. The odds of success are low.
An unknown number of pieces, with uncertain capabilities on a shifting board, collectively daring or being dared to test new limits. This is an interesting situation.