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SASMO 2015 Secondary 3 (Grade 9) Contest Question 17

SASMO · SASMO 2015 Secondary 3 (Grade 9) Contest

Question 17

Polite numbers are numbers that can be expressed as the sum of two or more
consecutive positive integers, e.g.
5=2+3;
9=24344=445,
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 second smallest number with a degree of politeness of 2.
A
bes
Se eS Se SS SSS

Question illustration