Someone asked me this after a workshop and seemed genuinely unsure: does the AI remember what I told it last week? It's a fair question, and the honest answer is that it depends on the tool and the setting, which isn't the satisfying yes-or-no answer people want.
Some AI chatbots have a memory feature you can turn on that lets them recall details from past conversations, so it feels more like talking to someone who knows your context over time. Others start fresh every single conversation with zero memory of anything you've said before, unless you paste it back in yourself. Which one you're using matters a lot, and it's usually explained somewhere in the app's settings if you go looking.
This is a different question from privacy, which is about who else can see what you type, not whether the AI itself recalls it later in conversation. You can have a chatbot with no memory feature at all that still stores your conversation on a server somewhere for other reasons, like improving the product, depending on the company's policies.
My practical rule is the same one I use for privacy: assume anything you type could be looked at by a person at some point, whether or not the AI itself "remembers" it in the conversational sense, and keep genuinely sensitive account numbers or passwords out of any chat window, memory feature or not.
Whether an AI remembers you and whether it's private are two separate questions worth understanding on their own terms. Neither one is complicated once you know to ask, but almost nobody explains the difference upfront.
If you want the slow, no-jargon version of all this — the stuff I wish someone had handed me before I fumbled through it myself — that's exactly what I built On Ramp AI for. Check it out here.