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 161
- 161 is the smallest composite number n whose Euler totient divides the sum of the Euler totients of the numbers less than or equal to n and not relatively prime to n
- 161 is the number of intersections of diagonals inside a regular decagon
- Digits in Morse code can be represented in base 3 with 1 for a dot and and 2 for a dash, coded one in base 3 is evaluated to 161
Common Properties of 161
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 odd if it is not divisible by 2.
Numbers that are not odd are even. 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 palindrome is a number that reads the same forward or backward.
A number is said to be square-free if its prime decomposition contains no repeated factors.
Undulating numbers are numbers of the form abababab... in base 10.
This property is significant starting from 3-digit numbers, so we will not consider numbers below 100.