Math question: If 10% of a number is subtracted from itself, and then the result is multiplied by 4, what is the final value?

To find the final value, we start by subtracting 10% of 6944 from it, which is 6944 * 0.1 = 694.4. Subtracting this from 6944 gives us 6944 - 694.4 = 6249.6. Next, we multiply this result by 4, obtaining 6249.6 * 4 = 24998.4. Therefore, the final value is 24998.4.

Math question: How many ordered pairs of positive integers (x,y) satisfy the equation 3x + 4y = 6944?

To find the number of solutions, we can rewrite the equation as 4y = 6944 - 3x. As both x and y are positive integers, we need to find the values of x for which 3x is divisible by 4 and lies between 6944 and 0. The largest possible value for x occurs when 3x = 6944, resulting in x = 2314. Thus, the smallest possible value for x is when 3x = 4 (2313 + 1), yielding x = 1. Hence, the range of values for x is 1 ≤ x ≤ 2314. For each value of x, there exists a unique y that satisfies the equation. Therefore, the number of ordered pairs (x, y) that satisfy the equation is 2314 - 1 + 1 = 2314. Note: The answer could be shortened, but providing a thorough explanation within the given character limit.

What is the largest common factor of 6944?

To find the largest common factor of 6944, we need to factorize it. Prime factorizing 6944 gives us 2^4 * 433. Now, to find the largest common factor, we take the highest power of each prime factor that occurs in the given number. Therefore, the largest common factor is 2^4 = 16.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

6944 (number)

6944 is an even 4-digits composite number following 6943 and preceding 6945. In scientific notation, it is written as 6.944 × 10^3. The sum of its digits is 23. It has a total of 7 prime factors and 24 positive divisors. There are 2880 positive integers (up to 6944) that are relatively prime to 6944.

Interesting facts

6944 has 24 divisors, whose sum is 16128
The reverse of 6944 is 4496
Previous prime number is 31

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 23
Digital Root 5

Name

Name	six thousand nine hundred forty-four

Notation

Scientific notation	6.944 × 10^3
Engineering notation	6.944 × 10^3

Prime Factorization of 6944

Prime Factorization 2 × 2 × 2 × 2 × 2 × 31 × 7

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	434	Product of the distinct prime numbers

The prime factorization of 6944 is 2 × 2 × 2 × 2 × 2 × 31 × 7. Since it has a total of 7 prime factors.

Most popular turbo-numbers

5, 7, 81, 44, 144, 325, 2003, 6369, 9041, 70437, 218275, 400948, 7629454, 848547, 5643014, 61302538, 486128281, 693182683, 1947738834, 6299527298

Basic calculations (n = 6944)

Multiplication

n×y

n×2	13888
n×3	20832
n×4	27776
n×5	34720

Division

n÷y

n÷2	3472
n÷3	2314.6666666667
n÷3	1736
n÷5	1388.8

Exponentiation

n^y

n²	48219136
n³	334833680384
n⁴	2325085076586496
n⁵	1.6145390771817E+19

Nth Root

^y√n

²√n	83.330666623999
³√n	19.078163691031
⁴√n	9.1285632288985
⁵√n	5.8657282973537

Divisors of 6944

1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944

24 divisors

τ	Total Divisors	24	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6943	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.041666666666667	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	24	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6944 can be divided by 24 positive divisors. The sum of these divisors (counting 6944) is 1, the average is 0.041666666666667.

Base conversion 6944

Base	System	Value
2	Binary	1101100100000
3	Ternary	100112012
4	Quaternary	1230200
5	Quinary	210234
6	Senary	52052
8	Octal	15440
10	Decimal	6944
12	Duodecimal	4028
16	Hexadecimal	1b20
20	Vigesimal	h74
36	Base36	5cw

Cryptographic Hash Functions

md5	ba51e6158bcaf80fd0d834950251e693
sha1	eec56f1cb9bdebcfda5e57e092acec7660925361
sha256	918ef45edb9f5d08f601b60a8905e54150644a5664aa071e615db55e3cd15e31
sha512	83dddccd0fe0d07606b7bc505b56b1ce48b063c8c0a7c97fd4bc912a1992e25869bff2fff49856333d6a90e9afe818efdd7fd788ef4983a82841bf9fe8bcb607
ripemd-160	a2c285eab874010824d0ba8c6228fcb62c3fb7c6

6944 as geometric shapes

Circle

Radius = n

Diameter	13888
Circumference	43630.438773055
Area	151484883.42005

Sphere

Radius = n

Volume	1402548040625.1
Surface area	605939533.68019
Circumference	43630.438773055

Square

Length = n

Perimeter	27776
Area	48219136
Diagonal	9820.2989771188

Cube

Length = n

Surface area	289314816
Volume	334833680384
Space diagonal	12027.360807758

Equilateral Triangle

Length = n

Perimeter	20832
Area	20879498.362268
Altitude	6013.6804038791

Triangular Pyramid

Length = n

Surface area	20879498.362268
Volume	39460527661.529
Height	3273.4329923729