Such an abundant number with abundance 1 is called a quasiperfect number. None have been found, according to <A HREF="https://en.wikipedia.org/wiki/Quasiperfect_number">Wikipedia</A>. This <A HREF="https://www.cambridge.org/core/journals/journal-of-the-australian-mathematical-society/article/some-results-concerning-quasiperfect-numbers/773348EC71E156E2E460DCC03D55030D">1982 article</A> found that *if a quasiperfect number exists, it must be an odd square number greater than $10^{35}$ and have at least seven distinct prime factors.*