Math Question: If the number 2744 is expressed as a product of its prime factors, what is the exponent of the largest prime factor?

To find the prime factorization of 2744, we start by dividing it by the smallest prime number, 2. We get 1372, and since 1372 is also divisible by 2, we divide again and get 686. Continuing this process, we find that 686 = 2 × 343, 343 = 7 × 7 × 7. Thus, the prime factorization of 2744 is 2 × 2 × 7 × 7 × 7. The exponent of the largest prime factor (7) is 3.

Math question: What is the square root of 2744?

The square root of 2744 is 52. This can be found by multiplying two identical numbers to get 2744, so the square root is the same number. In this case, 52 x 52 = 2744. Square roots help us find the original number when we know the result of squaring a number.

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

2744 (number)

2744 is an even 4-digits composite number following 2743 and preceding 2745. In scientific notation, it is written as 2.744 × 10^3. The sum of its digits is 17. It has a total of 6 prime factors and 16 positive divisors. There are 1176 positive integers (up to 2744) that are relatively prime to 2744.

Interesting facts

2744 has 16 divisors, whose sum is 6000
The reverse of 2744 is 4472
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 17
Digital Root 8

Name

Name	two thousand seven hundred forty-four

Notation

Scientific notation	2.744 × 10^3
Engineering notation	2.744 × 10^3

Prime Factorization of 2744

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

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	14	Product of the distinct prime numbers

The prime factorization of 2744 is 2 × 2 × 2 × 7 × 7 × 7. Since it has a total of 6 prime factors.

Most popular turbo-numbers

2, 9, 51, 23, 469, 166, 1324, 9300, 70351, 6810, 453979, 764785, 4131924, 6895465, 22405874, 47455775, 915533981, 117327772, 4127805322, 9867808541

Basic calculations (n = 2744)

Multiplication

n×y

n×2	5488
n×3	8232
n×4	10976
n×5	13720

Division

n÷y

n÷2	1372
n÷3	914.66666666667
n÷3	686
n÷5	548.8

Exponentiation

n^y

n²	7529536
n³	20661046784
n⁴	56693912375296
n⁵	155568095557812224

Nth Root

^y√n

²√n	52.383203414835
³√n	14
⁴√n	7.2376241554004
⁵√n	4.8716583257669

Divisors of 2744

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 343, 392, 686, 1372, 2744

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2743	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	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	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2744 can be divided by 16 positive divisors. The sum of these divisors (counting 2744) is 1, the average is 0.0625.

Base conversion 2744

Base	System	Value
2	Binary	101010111000
3	Ternary	10202122
4	Quaternary	222320
5	Quinary	41434
6	Senary	20412
8	Octal	5270
10	Decimal	2744
12	Duodecimal	1708
16	Hexadecimal	ab8
20	Vigesimal	6h4
36	Base36	248

Cryptographic Hash Functions

md5	5a45828dead8c065099cb653a2185df1
sha1	313356f0d1754c304429ead3a51f38a36bb028c7
sha256	c4b6fe20fadf12a363d8583f4a43eaf17bdffe8c65aa383e15cd0f38ee7acdc5
sha512	27e4352ac9786dfbf7c37c9299c61299dcf946826b3bf2e61009adabfc8447ec379f764d26a85e0dd43779482030a38e041830789843aa6d405ec4f21e1577b8
ripemd-160	892aaa097c1014882cf31da3f2f22f5d7b77c9ad

2744 as geometric shapes

Circle

Radius = n

Diameter	5488
Circumference	17241.060482901
Area	23654734.98254

Sphere

Radius = n

Volume	86544790389.453
Surface area	94618939.93016
Circumference	17241.060482901

Square

Length = n

Perimeter	10976
Area	7529536
Diagonal	3880.6020151518

Cube

Length = n

Surface area	45177216
Volume	20661046784
Space diagonal	4752.747415969

Equilateral Triangle

Length = n

Perimeter	8232
Area	3260384.7273547
Altitude	2376.3737079845

Triangular Pyramid

Length = n

Surface area	3260384.7273547
Volume	2434927714.5632
Height	1293.5340050506