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单词 Abundance
释义

Abundance

The abundance of a number is the quantity


where is the Divisor Function. Kravitz has conjectured that no numbers exist whose abundance isan Odd Square (Guy 1994).


The following table lists special classifications given to a number based on the value of .

Number
Deficient Number
Almost Perfect Number
0Perfect Number
1Quasiperfect Number
Abundant Number

See also Deficiency


References

Guy, R. K. Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 45-46, 1994.


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