Monday, October 19, 2009


8867 is a prime number.

8867 is the least prime whose multiplicative persistence is a perfect number, 6. Multiply all the digits of a number n by each other, repeating with the product until a single digit is obtained. The number of steps required is known as the multiplicative persistence, and the final digit obtained is called the multiplicative digital root of n.

8867 is 105015 in base 6 and 34565 in base 7.

8867 is the lower prime of a difference of 20 between consecutive primes.

The Magnificent Ambersons by Booth Tarkington is number 8867 in the Project Gutenberg catalog of online books.

Source: Wolfram MathWorld

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