IKMC 2027 - Grades 5-6 - Self-study SET 13 - Thematic Batch 3 Question 8

Some natural numbers are sums of three consecutive natural numbers, for example 9=2+3+4 and 21=6+7+8. Among the first 1000 natural numbers, how many have such a representation?



Source convention: 0 is a natural number and may be a summand.