Number Gossip
(Enter a number and I'll tell you everything you wanted to know about it but were afraid to ask.)
Unique Properties of 8676
- 6876 is the smallest 4-digit number n (out of two), such that the sum of the digit splits of n is equal to the product of the digits of n: (6 + 876) + (68 + 76) + (687 + 6) + (6 + 8 + 76) + (6 + 87 + 6) + (68 + 7 + 6) + (6 + 8 + 7 + 6) = 6 * 8 * 7 * 6
- 8676 is the largest 4-digit number n (out of two), such that the sum of the digit splits of n is equal to the product of the digits of n: (8 + 676) + (86 + 76) + (867 + 6) + (8 + 6 + 76) + (8 + 67 + 6) + (86 + 7 + 6) + (8 + 6 + 7 + 6) = 8 * 6 * 7 * 6
Common Properties of 8676
The number n is abundant if the sum of all its positive divisors except itself is more than n.
They are abundant above perfection, not to mention deficiency. See perfect and deficient numbers.
The number n is called an apocalyptic power if 2n contains the consecutive digits 666 (in decimal).
A positive integer greater than 1 that is not prime is called composite.
Composite numbers are opposite to prime numbers.
A number is even if it is divisible by 2.
Numbers that are not even are odd. Compare with another pair -- evil and odious numbers.
The number n is evil if it has an even number of 1's in its binary expansion.
Guess what odious numbers are.
The untouchable numbers are those that are not the sum of the proper divisors of any number.