Home
Class 12
MATHS
If N=2^(n-1).(2^n-1) where 2^n-1 is a p...

If `N=2^(n-1).(2^n-1)` where `2^n-1` is a prime, then the sum of the all divisors of N is

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

if f(x) = lim_(n->oo) 2/n^2(sum_(k=1)^n kx)((3^(nx)-1)/(3^(nx)+1)) where n in N , then find the sum of all the solution of the equation f(x) = |x^2 - 2|

Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, which of the following is true, where n is a natural number.

If the number of ways of selecting 3 numbers out of 1, 2, 3, ……., 2n+1 such that they are in arithmetic progression is 441, then the sum of the divisors of n is equal to

If n^(2)+2n -8 is a prime number where n in N then n is

A positive integer n is of the form n=2^(alpha)3^(beta) , where alpha ge 1 , beta ge 1 . If n has 12 positive divisors and 2n has 15 positive divisors, then the number of positive divisors of 3n is

If sum_(r=1)^20(r^2+1)r! =k!20 then sum of all divisors of k of the from 7^n, n epsi N is (A) 7 (B) 58 (C) 350 (D) none of these

The sum of the first n terms of the series 1^2+ 2.2^2+3^2 +2.4^2+.... is (n(n+1)^2)/2 when n is even. Then the sum if n is odd , is

The sum of the squares of the first n positive integers 1^2 + 2^2 + 3^2 + ………+ n^2 is (n(n +1)(2n+1))/(6) . What is the sum of the squares of the first 9 positive integers?

If N denotes the set of all positive integers and if f : N -> N is defined by f(n)= the sum of positive divisors of n then f(2^k*3) , where k is a positive integer is

The absolute value of the sum of first 20 terms of series, if S_(n)=(n+1)/(2) and (T_(n-1))/(T_(n))=(1)/(n^(2))-1 , where n is odd, given S_(n) and T_(n) denotes sum of first n terms and n^(th) terms of the series

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If A is a square matrix of order 3, then |(A-A^T)^(105)| is equal to ...

    Text Solution

    |

  2. The mean of the data set comprising of 16 observation is 16. If one ...

    Text Solution

    |

  3. If N=2^(n-1).(2^n-1) where 2^n-1 is a prime, then the sum of the all ...

    Text Solution

    |

  4. The value of int0^(pi/4) (e^(1/(cos^2x)).sinx)/(cos^3 x)dx equals ...

    Text Solution

    |

  5. If z=sqrt(3)-2+i , then principal value of argument z is (where i=sqrt...

    Text Solution

    |

  6. If 3A=[-1-2-2 2 1-2x-2y] such that AA^T=I , then which of the followin...

    Text Solution

    |

  7. A man throws a fair coin number of times and gets 2 points for each he...

    Text Solution

    |

  8. The solution of the equation sin^3x+sinxcosx+cos^3x=1 is (n∈N) (a)2np...

    Text Solution

    |

  9. underset(x to0)(lim)((1+a^(3))+8e^(1//x))/(1+(1-b^(3))e^(1//x))=2 then...

    Text Solution

    |

  10. If sin^(3)x cos3x+cos^(3)x sin 3x=3//8, then the value of sin 4x is

    Text Solution

    |

  11. Number of four digit number between 5000 and 6000 such that digit a...

    Text Solution

    |

  12. In a square matrix A of order 3 the elements a(ij) 's are the sum of...

    Text Solution

    |

  13. If the letters of the word SACHIN arranged in all possible ways and th...

    Text Solution

    |

  14. If Aa n dB are two non-singular square matrices obeying commutative ru...

    Text Solution

    |

  15. Let z be a complex number. If the minimum value of |z|^2+|z-3|^2+|z-3...

    Text Solution

    |

  16. The number of solutions of the equation cot(sin x+3)=1, in [0,3pi] i...

    Text Solution

    |

  17. A bag initially contains 1 red and 2 blue balls. An experiment consist...

    Text Solution

    |

  18. Show that |^x Cr^x C(r+1)^x C(r+2)^y Cr^y C(r+1)^y C(r+2)^z Cr^z C(r+1...

    Text Solution

    |

  19. If f(x)=x^(3)+4x^(2)+lambdax+1 is a monotonically decreasing function ...

    Text Solution

    |

  20. The number of solutions of the matrix equation X^(2) = I other than ...

    Text Solution

    |