Sublime number
Divisibility-based sets of integers | ||
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| Factorization forms | ||
| Constrained divisor sums | ||
| With many divisors | ||
| Aliquot sequence-related | ||
| Base-dependent | ||
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In mathematics, a sublime number is a positive integer which has a perfect number of positive divisors (including itself), and whose positive divisors add up to another perfect number.
12 for example is a sublime number, because it has a perfect number of positive divisors (6):1, 2, 3, 4, 6, and 12, and the sum of these is again perfect number: 28.
There are only two known sublime numbers, 12 and 6086555670238378989670371734243169622657830773351885970528324860512791691264 (sequence A081357 in the OEIS)[1]
References
- ^ C. A. Pickover, Wonders of Numbers, Adventures in Mathematics, Mind and Meaning New York: Oxford University Press (2003): 215