An abundant number for which all proper divisors are deficient is called a primitive abundant number (Guy 1994, p. 46). The first few odd primitive abundant numbers are 945, 1575, 2205, 3465, ... (OEIS A006038).
Primitive Abundant Number
See also
Abundant Number, Deficient Number, Highly Composite Number, Superabundant Number, Weird NumberExplore with Wolfram|Alpha
References
Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, p. 46, 1994.Sloane, N. J. A. Sequence A006038/M5486 in "The On-Line Encyclopedia of Integer Sequences."Referenced on Wolfram|Alpha
Primitive Abundant NumberCite this as:
Weisstein, Eric W. "Primitive Abundant Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PrimitiveAbundantNumber.html