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bonyem
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You are searching for a number with more than 500 divisors in the range 0 to 10000. But we are not sure whether a number less than 10000 will be the required number. So, instead of searching a number in a range, we can search for that number which satisfies the condition the in the set of positive real numbers.

num=1
tnum=0 #representing triangular number
nof=0
while nof<501:
      nof=2 #to include 1 and the number itself
      tnum+=num
      num+=1
      for i in range (2,int((tnum/2))+1):
          if tnum%i==0:
             nof+=1
      print (tnum," : ",nof) #printing the triangular number and its number of divisors
print ("Required number is ", tnum)

This code will also take a good amount of time to get you result.

num=1
tnum=0 #representing triangular number
nof=0
while nof<501:
      nof=2 #to include 1 and the number itself
      tnum+=num
      num+=1
      for i in range (2,int((tnum/2))+1):
          if tnum%i==0:
             nof+=1
      print (tnum," : ",nof) #printing the triangular number and its number of divisors
print ("Required number is ", tnum)

This code will also take a good amount of time to get you result.

You are searching for a number with more than 500 divisors in the range 0 to 10000. But we are not sure whether a number less than 10000 will be the required number. So, instead of searching a number in a range, we can search for that number which satisfies the condition the in the set of positive real numbers.

num=1
tnum=0 #representing triangular number
nof=0
while nof<501:
      nof=2 #to include 1 and the number itself
      tnum+=num
      num+=1
      for i in range (2,int((tnum/2))+1):
          if tnum%i==0:
             nof+=1
      print (tnum," : ",nof) #printing the triangular number and its number of divisors
print ("Required number is ", tnum)

This code will also take a good amount of time to get you result.

Source Link
bonyem
  • 131
  • 4

num=1
tnum=0 #representing triangular number
nof=0
while nof<501:
      nof=2 #to include 1 and the number itself
      tnum+=num
      num+=1
      for i in range (2,int((tnum/2))+1):
          if tnum%i==0:
             nof+=1
      print (tnum," : ",nof) #printing the triangular number and its number of divisors
print ("Required number is ", tnum)

This code will also take a good amount of time to get you result.