Sublime number

numbers with a perfect number of factors and a perfect sum of factors

A sublime number is a positive integer which has a perfect number of positive factors (including itself), and whose positive factors add up to another perfect number. For example 12 whose factor are 1, 2, 3, 4, 6, and 12 this is 6 factors. 6 is a perfect number the only other sublime number is 6,086,555,670,238,378,989,670,371,734,243,169,622,657,830,773,351,885,970,528,324,860,512,791,691,264.[1][2][3]

References

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  1. "Sublime number". www.hellenicaworld.com. Retrieved 2024-03-06.
  2. "Sublime Numbers". www.mathpages.com. Retrieved 2024-03-06.
  3. Weisstein, Eric W. "Sublime Number". mathworld.wolfram.com. Retrieved 2024-03-06.