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Sublime Number


Let sigma_0(n) and sigma_1(n) denote the number and sum of the divisors of n, respectively (i.e., the zeroth- and first-order divisor functions). A number n is called sublime if sigma_0(n) and sigma_1(n) are both perfect numbers. The only two known sublime numbers are 12 and

 60865556702383789896703717342431696... 
 ...22657830773351885970528324860512791691264

(Math Pages). It is not known if any odd sublime number exists.


See also

Divisor Function, Perfect Number

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References

MathPages. "Sublime Numbers." http://www.mathpages.com/home/kmath202.htm.

Referenced on Wolfram|Alpha

Sublime Number

Cite this as:

Weisstein, Eric W. "Sublime Number." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SublimeNumber.html

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