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MTRP OBJECTIVE Q5

Source: MTRP 2024

March 16, 2024
number theory

Problem Statement

How many positive integers nn between 11 and 20242024 (both included) are there such that ⌊n⌋\lfloor{\sqrt{n}}\rfloor divides nn? (For x∈R,⌊n⌋x \in \mathbb{R}, \lfloor{n}\rfloor denotes the greatest integer less than or equal to xx.) (A)44(A) 44 (B)132(B) 132 (C)1012(C) 1012 (D)2024(D) 2024
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