Question 18
Polite numbers are numbers that can be expressed as the sum of two or more
consecutive positive integers, e.g.
Sa2 43}
9=24+34+4=4+45.
The degree of politeness of a number is the number of ways a number can be
expressed as the sum of two or more consecutive positive integers, e.g. the
degree of politeness of 2, 5 and 9 is 0, 1 and 2 respectively. Find the smallest
number with a degree of politeness of 3.
consecutive positive integers, e.g.
Sa2 43}
9=24+34+4=4+45.
The degree of politeness of a number is the number of ways a number can be
expressed as the sum of two or more consecutive positive integers, e.g. the
degree of politeness of 2, 5 and 9 is 0, 1 and 2 respectively. Find the smallest
number with a degree of politeness of 3.