1.Find the number is prime or not
A prime number is only divisible by 1 and the number itself.
no = int(input("Enter no. "))
div = 2
while div<no:
if no%div == 0:
print("Not Prime")
break
div+=1
else:
print("Prime")
Enter no. 13
Prime
Enter no. 12
Not Prime
2.Reverse a number
A reverse number refers to the number obtained by reversing the digits of a given number.
def reverse_a_no(no):
reverse = 0
while no>0:
rem = no%10
reverse = (reverse*10) + rem
no//=10 #no=no//10
return reverse
no=int(input("Enter the number:"))
reversed_no = reverse_a_no(no)
print("Reverse Number:",reversed_no)
Enter the number:345
Reverse Number: 543
3.Check the reversed number is prime or not
To check if the reverse of a given number is prime, we need to:
Reverse the number.
Check if the reversed number is prime.
def reverse_a_no(no):
reverse = 0
while no>0:
rem = no%10
reverse = (reverse*10) + rem
no//=10 #no=no//10
return reverse
no = int(input("Enter no. "))
reversed_no = reverse_a_no(no) #31 71
print(reversed_no)
def find_prime(no):
div = 2
while div<no:
if no%div == 0:
return False
break
div+=1 #3
else:
return True
result1 = find_prime(no)
print(result1)
result2 = find_prime(reversed_no)
print(result2)
if result1 == result2:
print("EMIRP number")
else:
print("not EMIRP number")
Enter no. 13
31
True
True
EMIRP number
Enter no. 23
32
True
False
not EMIRP number
4.Find a Perfect Number:
A number is considered perfect if the sum of its divisors (excluding the number itself) equals the number.
def find_perfect(no):
total = 0
div = 1
while div<no:
if no%div==0:
total = total + div
div+=1
else:
if total == no:
return True
else:
return False
no = int(input("Enter no. "))
result = find_perfect(no)
if result == True:
print("Perfect Number")
else:
print("Not Perfect Number")
Enter no. 6
Perfect Number
Enter no. 7
Not Perfect Number
5.Find square of an input number and sum of digits of that square root number
def square(no):
return no**2
no=int(input("Enter the number:"))
result=square(no)
def sum_of_digits(num):
sum=0
while num>0:
sum=sum+num%10
num=num//10
return sum
if result<10:
print("sum_of_digits:",result)
else:
final_result=sum_of_digits(result)
if final_result<10:
print("sum_of_digits:",final_result)
else:
final_result=sum_of_digits(final_result)
print("sum_of_digits:",final_result)
Enter the number:7
sum_of_digits: 4
Enter the number:5
sum_of_digits: 7
6.Harshad number:
The sum of the digits of a number and divide the number by that sum, the result is an integer.
def sum_of_digits(num):
sum=0
while num>0:
sum=sum+num%10
num=num//10
return sum
no = int(input("Enter no. "))
result = sum_of_digits(no)
if no%result==0:
print("Harshad Number")
else:
print("Not Harshad Number")
Enter no. 12
Harshad Number
Enter no. 13
Not Harshad Number
7.Automorphic number
Check if a number’s square ends with the same number.
def find_square(no):
return no**2
no=int(input("Enter the number:"))
result=find_square(no)
def find_automorphic(result):
rem=result%10
return rem
rem=find_automorphic(result)
if no==rem:
print("Automorphic number")
else:
print("Not Automorphic number")
Enter the number:5
Automorphic number
Enter the number:7
Not Automorphic number
8.Find a fibonacci series:
Generate the Fibonacci sequence up to a given number.
def find_fibonacci(num):
no1=0
no2=1
sum=0
while sum<=num:
print(sum, end=" ")
no1 = no2
no2 = sum
sum = no1 + no2
num=int(input("Enter the number: "))
result=find_fibonacci(num)
Enter the number: 10
0 1 1 2 3 5 8
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