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 314
- 314 form the first three digits of pi
- 314 is the only number which together with its sixth power 958468597212736 has each digit from 1 to 9 occurring exactly twice
- 314 is the smallest even number n such that φ(n) > φ(n+1)
- 314 is the first century with four prime years
Common Properties of 314
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.