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. The integers consist of the positive natural numbers (1, 2, 3, …), their negatives (−1, −2, −3, ...) and the number zero. ... In mathematics, a perfect number is defined as an integer which is the sum of its proper positive divisors, that is, the sum of the positive divisors not including the number. ... In mathematics, a divisor of an integer n, also called a factor of n, is an integer which evenly divides n without leaving a remainder. ...

12 for example is 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. 12 (twelve) is the natural number following 11 and preceding 13. ... Number 6, in this article, refers to the mathematical number. ... 28 (twenty-eight) is the natural number following 27 and preceding 29. ...

There are only two known sublime numbers, 12 and 6086555670238378989670371734243169622657830773351885970528324860512791691264 (sequence A081357 in OEIS)^[1] The On-Line Encyclopedia of Integer Sequences (OEIS) is an extensive searchable database of integer sequences, freely available on the Web. ...

References

1. ^ C. A. Pickover, Wonders of Numbers, Adventures in Mathematics, Mind and Meaning New York: Oxford University Press (2003): 215