In most languages, dynamically allocated variable-sized objects have a minimum overhead of two pointer-sized fields: a pointer and a length. On a 64-bit platform, that's 16 bytes before you actually start having any data.
Next, depending on the allocator used, the requested data size is probably rounded up, either to the next power of 2, or there may be a minimum allocation size of 1 pointer. That's the compatible safe approach, and also has some performance advantages on most platforms.
Last but not least, most heap-based allocators have some "bookkeeping" overheads. Similarly, interpreted languages also have their internal "object" metadata overheads. Typically this is 1 or 2 extra pointers (+8 or +16 bytes).
Assuming 24-48 bytes for all variable-length values is actually a pretty safe bet!
There are exceptions:
Unusually, C skips the 'length' value for strings by using null-termination, so C strings are often just 16 bytes (8 for the pointer, and 8 for the allocated object on the heap, assuming some sort of small-object optimisation is going on).
The approach in C++ is to use "small string optimisation" where the string values are inlined into the std::string structure itself. This works up to 23 bytes packed into the 24-byte string structure. There's an awesome CppCon presentation on how Andrei Alexandrescu did this optimisation at Facebook: https://www.youtube.com/watch?v=kPR8h4-qZdk
Interpreted or "VM" languages like JavaScript, C# or Java are far worse than this. For one, they convert UTF8 to UTF16, doubling the bytes required per character for typical "ASCII" identifiers. JavaScript converts integers into 64-bit floats. Java has weird overheads for all objects. Etc...
Update: I just did an experiment with .NET 6
Allocating ~1 billion characters as 100M strings
800,000,056 bytes (0.7 GB) for holding the strings.
14,021,088,768 bytes (13.1 GB) for the strings themselves
14,821,216,680 bytes (13.8 GB) total
Unsurprisingly, simply "referencing" (holding on to) the strings needs an 8-byte pointer per string. The actual strings hold 1-20 characters randomly, but require 140 bytes in memory on average. This bloats out the original 1 GB to just under 14 GB in memory.