23. A perfect number is a positive integer that is equal to the sum of its positive divisorsexcept the number itself. The first two perfect numbers are 6 and 28 since 6=1+2+3and 28=1+2+4+7+14. Write a computer program that finds thefirst four perfect numbers
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23. A perfect number is a positive integer that is equal to the sum of its positive divisors
except the number itself. The first two perfect numbers are 6 and 28 since 6=1+2+3
and 28=1+2+4+7+14. Write a computer
first four perfect numbers
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- 7) The ideal gas law allows the calculation of volume of a gas given the pressure(P), amount ofthe gas (n), and the temperature (T). The equation is:V = nRT / PSince we only have used integer arithmetic, all numbers will be integer values with nodecimal points. The constant R is 8.314 and will be specified as (8314/1000). This givesthe same result. Implement the idea gas law program where the user is prompted for andenters values for n, T, and P, and V is calculated and printed out. Be careful toimplement an accurate version of this program. Your program should include a properand useful prompt for input, and print the results in a meaningful mannerA positive integer is called a perfect number if it is equal to thesum of all of its positive divisors, excluding itself. For example, 6 is the first perfectnumber because 6 = 3 + 2 + 1. The next is 28 = 14 + 7 + 4 + 2 + 1. Thereare four perfect numbers < 10,000. Write a program to find all these four numbers.Write a program that reads a number and finds it is a prime or not. 0. A prime number is a number such that 1 and itself are the only numbers that evenly divide it. For example: 3, 5,7, 11, 13, 17. 2.
- A Fibonacci sequence is a sequence of numbers where each successivenumber is the sum of the previous two. The classic Fibonacci sequencebegins: 1, 1, 2, 3, 5, 8, 13, .... Write a program that computes the nthFibonacci number where n is a value input by the user. For example, ifn = 6, then the result is 8.Write a program that displays all possible combinationsfor picking two numbers from integers 1 to 7. Also display the total number ofall combinations. 1 21 3......The total number of all combinations is 21. Many companies use telephone numbers like 555-GET-FOOD so the number is easier for their customers to remember. On a standard telephone, the alphabetic letters are mapped to numbers in the following fashion: A, B and C = 2 D, E and F = 3 G, H and I = 4 J, K and L = 5 M, N and O = 6 P, Q, R and S = 7 T, U and V = 8 W, X, Y and Z = 9 Write a program that asks the user to enter a 10-character number in the format XXX-XXX-XXXX. The application should display the telephone number with any alphabetic characters that appeared in the original translated to their numeric equivalent. For example, if the user enters 555-GET-FOOD, the application should display 555-438-3663. After displaying the translated telephone number, ask the user if they’d like to enter another number. If the user enters “y”, run the program again. If not, terminate the program. (10 points)Note: the sentence the program reads SHOULD NOT be hardcoded. Allow the user to enter the sentence the program reads PYTHON
- A palindromic prime is a prime number and also palindromic. For example, 131 is a prime and also a palindromic prime, as are 313 and 757. Write a program that displays the first 120 palindromic prime numbers. Display 10 numbers per line, separated by exactly one space, as follows: 3 5 7 11 101 131 151 181 191 313 353 373 383 727 757 787 797 919 9291. Write an algorithm that asks the user to enter ten numbers and then prints the largest one.2. Write an algorithm that asks the user to enter a positive integer n and prints the sum of the divisors of n.compare loans with various interest rates) Write a programthat lets the user enter the loan amount and loan period in number of years anddisplays the monthly and total payments for each interest rate starting from 5% to10%, with an increment of 1/4. Here is a sample run: Loan Amount: 10000Number of Years: 5Interest Rate Monthly Payment Total Payment5.000% 188.71 11322.745.250% 189.86 11391.595.500% 191.01 11460.70...9.750% 211.24 12674.5510.000% 212.47 12748.23
- Write a program that reads 11 integers, compares eachinteger with the 11th integer, and displays whether the integers are “greater”,“smaller”, or “equal” to the 11th integer.The octal numeral system is a base-eight positional system that uses the symbols 0, 1, 2, 3, 4, 5, 6, and 7. Write each base-eight number as a base-ten number. (Hint: Similar to this example.) (a) 15(b) 116 Write each set using the listing method. (a) the set of integers from 2 through 10 (b) the set of letters in the word setPYTHON PROGRAMMING !)Write a program to display all the numbers which are divisible by 13 but not by 3 between 100 and 500.(exclude both numbers) b) Write a program to print the following series till n terms.2 , 22 , 222 , 2222 _ _ _ _ _ n terms c) Write a program to find the sum of the following series(accept values of x and n from user): 1 + x/1! + x^2/2! + ……….x^n/n!