Thursday, March 6, 2025

Sublime Numbers

 

(Image: Grok)

The numbers 12 and 6086555670238378989670371734243169622657830773351885970528324860512791691264 are the two entries in the OEIS sequence: A081357, Sublime Numbers. 

In number theory, 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.

The first entry, 12, has a perfect number of positive factors (6): 1, 2, 3, 4, 6, and 12, and the sum of these is again a perfect number: 1 + 2 + 3 + 4 + 6 + 12 = 28.

The second entry, above, is the product: (2126)(261 − 1)(231 − 1)(219 − 1)(27 − 1)(25 − 1)(23 − 1). 

No comments:

Post a Comment

1679 - One important message sent from Earth 31 years ago

In 1974 an interstellar radio transmission was broadcast to the  globular cluster   Messier 13   from the Arecibo radio telescope in Puerto ...

Popular in last 30 days