schemaType of LongSerializer is wrong

[luozhenyu]

Describe the bug
The schemaType of LongSerializer and ShortSerializer should be integer instead of number.
https://github.com/FasterXML/jackson-databind/blob/2.15/src/main/java/com/fasterxml/jackson/databind/ser/std/NumberSerializers.java#L188-L190

Version information
2.x

To Reproduce

ObjectMapper mapper = new ObjectMapper();
JsonSchema jsonSchema = mapper.generateJsonSchema(Long.class);
System.out.println(mapper.writeValueAsString(jsonSchema));
// stdout: {"type":"number"}

Expected behavior

1. Do you think we should fix it up? change the schemaType of LongSerializer and ShortSerializer from number to integer.
2. I notice the interface SchemaAware is removed in 3.x , but the latest release is still 2.x . New developers may still override methods of SchemaAware. I think interface SchemaAware should be marked with @Deprecated.

[cowtowncoder]

@luozhenyu Yes, I think you are right, these should be changed to give more specific type. This can go in 2.15.

As to SchemaAware... it might make sense to mark it deprecated; the main problem is that this will lead to lots of warnings for serializer implementation in databind package.
But other 2 types in that package are indeed deprecated so maybe it should be.
Could you please file a separate issue suggesting adding deprecation?
And I'll go ahead change schema type under this issue.