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 5750
- 5750 is the smallest number n such that n equals |reverse(lpd(n)) − reverse(Lpf(n))|, where lpd(n) is the largest proper divisor and Lpf(n) is the largest prime factor of n: (lpd(5750) = 2875, Lpf(5750) = 23, 5782 - 32 = 5750)
Common Properties of 5750
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.
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 evil if it has an even number of 1's in its binary expansion.
Guess what odious numbers are.