编程完数的Python题

以下是几个Python编程完数的例子：

1. 判断一个数是否为完数：

def is_perfect(num):
    divisors = []
    for i in range(1, num):
        if num % i == 0:
            divisors.append(i)
    if sum(divisors) == num:
        return True
    else:
        return False

# 测试
print(is_perfect(6)) # True
print(is_perfect(28)) # True
print(is_perfect(12)) # False

2. 找到1000以内的所有完数：

def find_perfect_numbers():
    perfect_numbers = []
    for num in range(1, 1001):
        if is_perfect(num):
            perfect_numbers.append(num)
    return perfect_numbers

# 测试
print(find_perfect_numbers()) # [6, 28, 496]

3. 找到指定范围内的所有完数：

def find_perfect_numbers(start, end):
    perfect_numbers = []
    for num in range(start, end+1):
        if is_perfect(num):
            perfect_numbers.append(num)
    return perfect_numbers

# 测试
print(find_perfect_numbers(1, 1000)) # [6, 28, 496]
print(find_perfect_numbers(1, 10000)) # [6, 28, 496, 8128]