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 124
- 124 is the smallest magic sum of a 4 by 4 semimagic square composed of consecutive primes
- 124 is the smallest nontotient untouchable number
- 124 is the smallest number that is written with 3 distinct digits forming a geometric progression
Common Properties of 124
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.
The untouchable numbers are those that are not the sum of the proper divisors of any number.