Question: Find the smallest positive integer with exactly 18 positive divisors. How many binary sequences of length n are palindromes?

Find the smallest positive integer with exactly 18 positive divisors.

How many binary sequences of length n are palindromes?

Step by Step Solution

★★★★★

3.46 Rating (149 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

The smallest positive integer with exactly 18 positive divisors is 22 32 36 The number 36 has 2121 9 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Q:

Find the smallest positive integer n such that n is a multiple of 3, n+1 is a multiple of 4, and n + 2 is a multiple of 5.

Q:

Carry out Newtons method to find the smallest positive root of the equation 5.000x e x = 0. Do the calculation by hand and verify your result by use of Excel.

Q:

Find the smallest positive integer n such that it leaves remainder 1 when divided by 11, 2 when divided by 12 and 3 when divided by 13.

Q:

0. Introduction. A prime number is a positive integer with exactly two distinct divisors: 1 and itself. The Sieve of Eratosthenes (pronounced Era-TOSS-the-knees ) is an algorithm for finding prime...

Q:

The extra problem at the bottom. Please use a proof and also generally break down the premise of the problem so I undestand it. ThanksSoMuch. :) CS 275, SPRING 2019, HW 4 The Homework is due next...

Q:

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

Q:

HW 12, MAT 312/AMS 351: SPRING 2017 Problem 1. (1) Set H = {4a + 6b | a, b Z} Z. Show that H is a subgroup of Z. (2) Is H cyclic? Problem 2. Write down all the cyclic subgroups of the following...

Q:

You must use pointers and functions in this C program. Please read the 5 page intructions and read the tips in the last page. Please write a simple code that will be understandable by beginner...

Q:

In a Hopfield neural network configured as an associative memory, with all of its weights trained and fixed, what three possible behaviours may occur over time in configuration space as the net...

Q:

You must use functions and pointers to write this C program. there will be two codes that is part 1 and part 2. read the instructions and tips. Use %lf(long float) instead of float(%f) when...

Q:

Write a note on the movie the last of his tribe?

Q:

3. Which of the following is NOT implied by or a category of "human action"? a. Human imagination b. Free will c. Causality d. Equilibrium

Q:

5 What is included in a SWOT analysis? 1 poirts Multiple Choice strengths, weaknesses, organizations, and technology success, weaknesses, organizations, and threats strengths, weaknesses,...

Q:

Determine whether or not the triangles in each pair below are congruent. Justify your conclusion with a triangle congruency condition. Then choose one pair of congruent triangles and show your...

Q:

Determine whether or not the triangles in each pair below are congruent. Justify your conclusion with a triangle congruency condition. Then choose one pair of congruent triangles and show your...

Q:

If f(x)= 3(2)*, what are the value of the expressions in parts (a) through (o below? Then complete parts (d) through (f). a. f-1) b. f0) c. f(1) . d. What value of x gives f(x) = 12? Where does the...

Q:

Mr. Nguyen has decided to divide $775 among his three daughters. If the oldest gets twice as much as the youngest, and the middle daughter gets $35 more than the youngest, how much does each child...

Q:

Below are several situations that can be described using exponential grow or decay by a constant percentage over equal periods of time. For each 8-128. situation (a) through (d): What is an...

Q:

The district assigns you to open a new school building the facilities are new the students are new the staff will be new hires or transfers into the building you will need to select the staff set a...

Q:

Perform the following matrix multiplications. (a) (b) (c) (d) (e) (f) 3 70 456 123 3 1 10 1 22 6 3 6 462 317 135 3 003 0 100 beh 9 001 100

Q:

(a) Let G be an undirected graph with n vertices. If G is isomorphic to its own complement , how many edges must G have? (Such a graph is called self-complementary.) (b) Find an example of a...

Q:

For each of the machines in Table 6.13, determine the transient states, sink states, submachines (where f1 = {0, 1}), and strongly connected submachines (where f1 = {0, 1}). 11110000 00110110 6536...

Q:

8.2. Whether a woman becomes pregnant in the next year is a categorical variable with categories (yes, no), and whethershe and herpartner use contraceptives is another categorical variable with...

Q:

8.3. Every year, a large-scale poll of college freshmen conducted by the Higher Education Research Institute at UCLA asks their opinions about a variety of issues. In 2002, 46% of men and 35% of...

Q:

8.12. In the GSS. subjects who were married were asked the happiness oftheir marriage, the variable coded as HAPMAR. (a) Go to sda.berkeley.edu/GSS/ and construct a contingency table for 2006...