Such an abundant number with abundance 1 is called a quasiperfect number. None have been found, according to Wikipedia. This 1982 article 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. A recent article on this topic is here.

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 Wikipedia. This 1982 article 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 here.

Such an abundant number with abundance 1 is called a quasiperfect number. None have been found, according to Wikipedia. This 1982 article 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.

Such an abundant number with abundance 1 is called a quasiperfect number. None have been found, according to Wikipedia. This 1982 article 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. A recent article on this topic is here.