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Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

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14 Divisors

What is the smallest number with exactly 14 divisors?

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Summing Consecutive Numbers

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?


Stage: 3 Short Challenge Level: Challenge Level:1

The robot Lumber9 moves along the number line. Lumber9 starts at $0$, slides forward one unit (to $1$), slides backwards $2$ units (to $-1$), then forward $3$, back $4$, and so on. Lumber9 slides alternately forward and backwards, with each slide one unit longer than the previous one.

At what number is Lumber9 after $2011$ slides?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.
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