a_perfect_number

maths/is_perfect_number.py

@@ -0,0 +1,29 @@
+def is_perfect_number(n: int) -> bool:
+    """
+    Check if a number is a Perfect Number.
+
+    A perfect number is a positive integer that is equal to the sum
+    of its positive divisors, excluding the number itself.
+
+    Example:
+    6 = 1 + 2 + 3
+    28 = 1 + 2 + 4 + 7 + 14
+    """
+
+    if n < 2:
+        return False
+
+    total = 1  # 1 is always a divisor
+    for i in range(2, int(n**0.5) + 1):
+        if n % i == 0:
+            total += i
+            if i != n // i:
+                total += n // i
+
+    return total == n
+
+
+if __name__ == "__main__":
+    print(is_perfect_number(6))  # True
+    print(is_perfect_number(28))  # True
+    print(is_perfect_number(10))  # False