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 590
- 590 is the smallest number n such that n concatenated with n+2 gives the product of two consecutive numbers (590592 = 768*760)
- 590 is the only three-digit number n such that n ones plus n is prime
- 590-th prime is the smallest followed by a gap (distance to next larger prime) of 30
Common Properties of 590
A positive integer greater than 1 that is not prime is called composite.
Composite numbers are opposite to prime numbers.
The number n is deficient if the sum of all its positive divisors except itself is less than n.
Compare with perfect and abundant 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 odious if it has an odd number of 1's in its binary expansion.
Guess what evil numbers are.
A number is said to be square-free if its prime decomposition contains no repeated factors.