Exercise: completion

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Complete

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1. subject
2. Title Misreading
3. Code running effect
4. Complete code

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subject

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Definition ：

   The sum of all the factors of a number ( except 1 And itself ) Equal to the number itself .

Click to see “ Complete ” Encyclopedia entry

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Misreading questions

   I put... In the title “ factor ” Understood as prime factor , First find the prime number that is not greater than the input integer , Find the prime factor and sum . Only to find 4 by “ Complete ”. After encyclopedia , I see. Yes “ All the factors ”, Modify the code , Use the perfect number 6、28 Trial code . To no avail ！！！Why? 🧐🧐
   I am not careful , Omit again “ True factor ” Medium 1.

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Code running effect

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Python Code

( If you can't make clear the function from the statement annotation , Please leave a message in the comment area for advice and discussion .)

#!/sur/bin/nve python
# coding: utf-8


number_s = '''  Complete   Definition :  The sum of all the factors of a number ( except  1  And itself ) Equal to the number itself . '''


def isw_number(num): #“ Complete ” confirm .
    if sum([i for i in range(1, num) \
if num % i == 0]) == num:
    # Parse out an integer “ True factor ” list , Sum and judge .
        return num
        #“ True factor ” And equals the number , Returns the completion , Not perfect, no return value .


input(isw_number(8128)) # Use the perfect number 8128 experiment on tempering with fire .

n = 10000
wang_numbers = [i for i in 
map(isw_number, range(1, n + 1)) 
if i is not None]
s = f"1 ~ {n}  Medium “ Complete ”："
# call  isw_number  lookup  0 ～ 1×10**9 The perfections in .
print(f'\n\n\n{
    "  Find completion  ":_^46}\
\n\n{
    "":.^50}\
\n{
    number_s}\
\n{
    "."*50}\
\n\n\n{
    s}{
    wang_numbers}\
\n\n\n{
    " The end ":_^50}\n')

“ Complete ” Functions use short sentences , Easier to read .

def isw_number(num): #“ Complete ” confirm .
    factors = [] # initialization “ True factor ” list .
    for i in range(1, num): # Traverses an integer smaller than the input integer , Seek “ All “ True factor ”.”
        if num % i == 0: # Is the input integer true factor 
            factors.append(i) # Collect to “ True factor ” list .
    if sum(factors) == num: # Input integer “ True factor ” The sum of the list is equal to the integer .
        return num # The input integer is the completion , Returns the completion . Not perfect, no return value .

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