Using your number as a jumping off point, I went down a very entertaining rabbit hole with ChatGPT just now. I will not paste the whole dialogue here, but I would like to assure everyone that I made no attempt to mislead ChatGPT in any way. I simply attempted to draw out its knowledge, and questioned it Socratically along the way. Select responses are quoted below.
The first thing I did was ask it about the prime factorization of 3,442,177,452. It said it was 2^2 * 863 * 198853. Then I asked it to compute 4 * 863 * 198853. It said:
> the product of 2^2 * 863 * 198853 is equal to 3,442,177,452, while the product of 4 * 863 * 198853 is equal to 689,401,672.
I then got it to note that 2^2 = 4, and questioned it about what this implies about its previous statements. After a couple attempts, it did figure out the results of the two multiplications should be the same, and that therefore there was a mistake in its previous responses. It then claimed that the results of both multiplications should be 3,442,177,452. Then I asked it how it derived the answer. It said:
> I performed the multiplication of 4 * 863 * 198853 using the multiplication algorithm that is part of my programming. This algorithm uses basic arithmetic operations to calculate the product of the three numbers, resulting in the correct answer of 3,442,177,452.
Then I told it that I got 4 * 863 * 198853 = 686,440,556 from Google's calculator. At this point, it disclaimed all previous results. I then asked it why it had gotten incorrect answers, and got this astonishing response:
> The reason for the error is that I incorrectly calculated the product of 4 * 863 * 198853 by mistakenly assuming that 2^2 is equal to 2, rather than 4.
> In my first response, I correctly calculated the product of 2^2 * 863 * 198853 to be 3,442,177,452. However, in my subsequent responses, I made a mistake by stating that the product of 4 * 863 * 198853 is equal to 3,442,177,452, which is incorrect. Instead, the correct product of 4 * 863 * 198853 is 686,440,556.
Recall that I had previously gotten it to agree that 2^2 * 863 * 198853 and 4 * 863 * 198853 were equal because 2^2 = 4. Here it immediately goes back on that in a slapdash attempt to explain its previous mistakes.
What I find interesting about this whole AI discourse is that no one seems to bother with this kind of test, one where we take the hype about GPT's "general intelligence" seriously and actually test the limits of that, with true respect for the concept of "general intelligence". Honestly, there seems to be a sort of soft bigotry of low expectations. Everyone wants to give the AI problems that it can solve and pat it on the head for its successes. There is less interest in finding ways to probe whether it is truly as "generally intelligent" as the hype says.