Difficulty: Medium
Correct Answer: 28
Explanation:
Introduction / Context:
Number-property classification often focuses on special categories such as primes, squares, and perfect numbers. A perfect number equals the sum of its proper divisors (divisors less than the number itself). Among the options, 28 is the classic small perfect number; the others are not perfect. Recognizing perfect numbers is a standard competitive-exam micro-fact that can quickly unlock such items.
Given Data / Assumptions:
Concept / Approach:
Compute the sum of proper divisors or recall the well-known early perfect numbers (6, 28, 496, 8128). If exactly one option matches, it is the outlier by property. This method exploits memorized landmarks to avoid time-consuming divisor calculations in the exam setting.
Step-by-Step Solution:
Verification / Alternative check:
Explicitly sum divisors for 28 as shown to confirm equality.
Why Other Options Are Wrong:
Common Pitfalls:
Confusing abundant numbers with perfect ones due to large divisor sums; equality is required.
Final Answer:
28
Discussion & Comments