# Numbers

Determine the number of all positive integers less than 4183444 if each is divisible by 29, 7, 17.

What is its sum?

Correct result:

n =  1212
S =  2536754178

#### Solution:

$a_1 = 29\cdot 7\cdot 17= 3451 \ \\ \ \\ n = \lfloor \dfrac{ 4183444}{ a_1 } \rfloor = 1212$
$S = \dfrac{n}{2} (a_1 + a_n) = \dfrac{n}{2} (a_1 + n a_1 ) = \dfrac{n( n + 1)}{2} \cdot a_1 = 2536754178$

We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!

Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.
Check out our ratio calculator.
Do you want to round the number?
Do you want to perform natural numbers division - find the quotient and remainder?

## Next similar math problems:

• Sum of the seventeen numbers
The sum of the 17 different natural numbers is 154. Determine the sum of the two largest ones.
• Prime divisors
Find 2/3 of the ratio of the sum and the product of all prime divisors of the number 120.
• Twenty-five
How many three-digit natural numbers are divisible by 25?
• Divisible by nine
How many three-digit natural numbers in total are divisible without a remainder by the number 9?
• 7 digit number
If 3c54d10 is divisible by 330, what is the sum of c and d?
• The sum 6
The sum of the 17 different natural numbers is 153. Determine the sum of the two largest ones.
• Unknown number
Unknown number is divisible by exactly three different primes. When we compare these primes in ascending order, the following applies: • Difference first and second prime number is half the difference between the third and second prime numbers. • The prod
• Positive integers
Several positive integers are written on the paper. Michaella only remembered that each number was half the sum of all the other numbers. How many numbers could be written on paper?
• Regrouping
Subtract mixed number with regrouping: 11 17/20- 6 19/20
• Progression
-12, 60, -300,1500 need next 2 numbers of pattern
• Ratio three numbers
Three numbers SUV are in the ratio 1:2:3. Their sum is 24. Find this numbers and write their add and sum.
• Finite arithmetic sequence
How many numbers should be inserted between the numbers 1 and 25 so that all numbers create a finite arithmetic sequence and that the sum of all members of this group is 117?
• Number
What number should be placed instead of the asterisk in number 702*8 to get a number divisible by 6?
• Unknown x
If we add to unknown number 21, then divide by 6 and then subtract 51, we get back an unknown number. What is this unknown number?
• Mean
if the mean of the set of data 5, 17, 19, 14, 15, 17, 7, 11, 16, 19, 5, 5, 10, 8, 13, 14, 4, 2, 17, 11, x is -91.74, what is the value of x?
• Sum of three numbers
The sum of three numbers from which second number is 20% smaller than the first number and the third number is 25% smaller than the second number is 96. Determine this numbers.
• Difference of two number
The difference of two numbers is 20. They are positive integers greater than zero. The first number raised to one-half equals the second number. Determine the two numbers.