Classification (number properties): Three numbers are <em>not</em> perfect numbers; one number is a perfect number (equal to the sum of its proper divisors). Identify the odd one out.

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:

• 12 → proper divisors: 1, 2, 3, 4, 6 (sum = 16 ≠ 12).
• 28 → proper divisors: 1, 2, 4, 7, 14 (sum = 28 → perfect).
• 52 → proper divisors: 1, 2, 4, 13, 26 (sum = 46 ≠ 52).
• 96 → proper divisors sum is much larger than 96 (abundant), but not equal to 96.

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