What is the id( ) function used for?

Your post asks several questions:

What is the number returned from the function?

It is “an integer (or long integer) which is guaranteed to be unique and constant for this object during its lifetime.(Python Standard Library – Built-in Functions) A unique number. Nothing more, and nothing less. Think of it as a social-security number or employee id number for Python objects.

Is it the same with memory addresses in C?

Conceptually, yes, in that they are both guaranteed to be unique in their universe during their lifetime. And in one particular implementation of Python, it actually is the memory address of the corresponding C object.

If yes, why doesn’t the number increase instantly by the size of the data type (I assume that it would be int)?

Because a list is not an array, and a list element is a reference, not an object.

When do we really use id( ) function?

Hardly ever. You can test if two references are the same by comparing their ids, but the is operator has always been the recommended way of doing that. id( ) is only really useful in debugging situations.

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