My summary
Statute has a pretty broad meaning. It means legislative law. It isn't generally used to refer to an entire Title of U.S.C., only sections and subsections (i.e. I don't see people saying "the copyright statute, 17 U.S.C, ...") It wouldn't be wrong, but it isn't common. 17 U.S.C is statutory law.
Black's Law Dictionary
From Black's Law Dictionary defines "statute" broadly as:
A law passed by a legislative body; specif.,
legislation enacted by any lawmaking body, including
legislatures, administrative boards, and municipal courts. The term act is interchangeable as a synonym.
Black's Law Dictionary has several sub-categories of statute. For example:
Compiled statutes: Laws that have been arranged by subject but have not been substantively changed
Black's Law Dictionary also includes "statute book":
A bound collection of statutes, usu. as part of a larger set of books containing a complete body of statutory law, such as the United States Code
Annotated.
Usage examples
In United States v. James 478 U.S. 597 (1986), the court refers to a subsection of U.S. Code as "a statute":
... the Federal Government was immune from damages under 33 U.S.C § 702c, a statute left unrepealed by by the Federal Tort Claims Act.
Scalia and Garner refer to an Act as a statute at page 253 of Reading Law: The Interpretation of Legal Texts:
... another statute, the Offenses Against the Person Act, ...
In Fourco Glass Co. v. Transmirra Products Corp. 353 U.S. 222 (1957), the Supreme Court refers to both a section of the Judicial Code and a section of U.S.C. as statutes.
The question here, then, is simply whether there has been a substantive change in that statute since the Stonite case. If there has been such change, it occurred in the 1948 revision and recodification of the Judicial Code. [Footnote 5] At the time of the Stonite case, the venue provisions of that statute (§ 48 of the 1911 Judicial Code, 28 U.S.C. (1940 ed.) § 109) read ...
They also talk about assessing whether the statute changed over time. If "statute" was limited to only meaning a particular act passed by Congress, it wouldn't make sense to consider change over time.