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 582
- 582 is the smallest number that is the sum of two reversed consecutive primes in more than one way (582 = 191 + 391 = 386 + 196, where 191,193 and 691,683 are two pairs of consecutive primes)
- 582 is the smallest number such that its largest prime factor equals the sum of the 4th power of the other prime factors (prime factors of 582 are 2, 3 and 97, and 97 = 24 + 34)
Common Properties of 582
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.
A number is said to be square-free if its prime decomposition contains no repeated factors.