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Primitive Abundant Number

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, ... (Sloane's A006038).

See also Abundant Number, Deficient Number, Highly Abundant Number, Superabundant Number, Weird Number


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 ``An On-Line Version of the Encyclopedia of Integer Sequences.'' and Sloane, N. J. A. and Plouffe, S. The Encyclopedia of Integer Sequences. San Diego: Academic Press, 1995.

© 1996-9 Eric W. Weisstein