An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.
What is the smallest number with exactly 14 divisors?
Many numbers can be expressed as the sum of two or more consecutive integers. For example, 15=7+8 and 10=1+2+3+4. Can you say which numbers can be expressed in this way?
Inspector Remorse estimates that he can solve the average murder in $x$ hours, a bank robbery in half that time, and a car theft in one third of the time he takes to solve a bank robbery.
This problem is taken from the UKMT Mathematical Challenges.