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 102
- 102 is the smallest number with three different digits
- 102 is the alphanumeric value of THOUSAND
- 102 is the smallest Ulam number which is a product of three distinct primes: 102 = 2*3*17 (submitted by Massimo Kofler)
- 102 is the smallest number m such that m times the number consisting of m ones is one greater than a prime number
Common Properties of 102
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.
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.
The next Ulam number is uniquely the sum of two earlier distinct Ulam numbers.