Such an abundant number with abundance 1 is called a **quasiperfect** number (which is a more professional way to say "kindda-perfect"). 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> says 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.* A recent article on this topic is <A HREF="https://arxiv.org/abs/1610.01063">here.</A>