What is the largest prime factor of the number 4744?

To find the largest prime factor of 4744, we can use prime factorization. First, we observe that 4744 is even, so we can divide it by 2, resulting in 2372. Continuing with Prime Factorization, we divide 2372 by 2 again, resulting in 1186. Dividing further, 1186 is divisible by 2, resulting in 593. Finally, we test if 593 is divisible by any prime number greater than 2. By checking divisibility starting from 3 up to the square root of 593 (approximately 24), we find out that 593 is prime. Therefore, the largest prime factor of 4744 is 593, as there are no other prime factors present.

What is the largest prime factor of the number 4744?

To find the largest prime factor of 4744, we can divide it by prime numbers starting from the smallest. Dividing 4744 by 2, we get 2372. Since 2372 is also even, let's divide it by 2 again and obtain 1186. Dividing 1186 by 2 once more, we get 593. Now, let's try dividing by the next prime number, which is 3, but it doesn't divide evenly. Thus, we proceed to divide by 5, which gives us 119. Dividing 119 by 7, we have 17 remaining. Continuing, we divide by 11, 13, and find that 17 is a prime number. Therefore, the largest prime factor of 4744 is 17.

What is the largest prime number that divides 4744?

To find the largest prime number that divides 4744, we can use the trial division method. We start dividing by the smallest prime number, 2. 4744 ÷ 2 = 2372. Continuing, we divide by 2 again: 2372 ÷ 2 = 1186. We notice that 1186 is even, so we divide it by 2 once more: 1186 ÷ 2 = 593. Now, 593 is an odd number, not divisible by 2. Next, we divide by the next prime number, 3, but it does not divide evenly into 593. Trying 5 and 7 also yield no divisors. However, when we try 11, we find that 11 divides 593: 593 ÷ 11 = 53. Finally, dividing 53 by any prime number greater than 11 would only yield itself, so we know the largest prime number that divides 4744 is 11.

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

4744 (number)

4744 is an even 4-digits composite number following 4743 and preceding 4745. In scientific notation, it is written as 4.744 × 10^3. The sum of its digits is 19. It has a total of 4 prime factors and 8 positive divisors. There are 2368 positive integers (up to 4744) that are relatively prime to 4744.

Interesting facts

4744 has 8 divisors, whose sum is 8910
The reverse of 4744 is 4474
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 19
Digital Root 1

Name

Name	four thousand seven hundred forty-four

Notation

Scientific notation	4.744 × 10^3
Engineering notation	4.744 × 10^3

Prime Factorization of 4744

Prime Factorization 2 × 2 × 2 × 593

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	1186	Product of the distinct prime numbers

The prime factorization of 4744 is 2 × 2 × 2 × 593. Since it has a total of 4 prime factors.

Most popular turbo-numbers

10, 8, 70, 74, 51, 603, 8143, 3407, 58095, 79407, 768946, 895793, 8075102, 5175594, 14616266, 81712440, 800652114, 360454162, 977197189, 5160196368

Basic calculations (n = 4744)

Multiplication

n×y

n×2	9488
n×3	14232
n×4	18976
n×5	23720

Division

n÷y

n÷2	2372
n÷3	1581.3333333333
n÷3	1186
n÷5	948.8

Exponentiation

n^y

n²	22505536
n³	106766262784
n⁴	506499150647296
n⁵	2402831970670772224

Nth Root

^y√n

²√n	68.87670143089
³√n	16.802796208796
⁴√n	8.2991988427131
⁵√n	5.4353677856448

Divisors of 4744

1, 2, 4, 8, 593, 1186, 2372, 4744

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-4743	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 4744 can be divided by 8 positive divisors. The sum of these divisors (counting 4744) is 1, the average is 0.125.

Base conversion 4744

Base	System	Value
2	Binary	1001010001000
3	Ternary	20111201
4	Quaternary	1022020
5	Quinary	122434
6	Senary	33544
8	Octal	11210
10	Decimal	4744
12	Duodecimal	28b4
16	Hexadecimal	1288
20	Vigesimal	bh4
36	Base36	3ns

Cryptographic Hash Functions

md5	42778ef0b5805a96f9511e20b5611fce
sha1	6c3ed1d27b8a822a66dba5180837cda77c5e445f
sha256	fdba794336e0776e12850af77674a568e984745e0c1fa7318f23b62b662cabd1
sha512	2973fffd296405a43cfff915585381ebc634e142e0d5f6d19d6d49dbf604e3590462505837d14bfe5a8c03dc078822aa4380f30a15d9ed4ced18ab08416be5c0
ripemd-160	5862c20234a8105ccfb00a8784b71e2ab4a8013b

4744 as geometric shapes

Circle

Radius = n

Diameter	9488
Circumference	29807.43109726
Area	70703226.562701

Sphere

Radius = n

Volume	447221475751.27
Surface area	282812906.2508
Circumference	29807.43109726

Square

Length = n

Perimeter	18976
Area	22505536
Diagonal	6709.029139898

Cube

Length = n

Surface area	135033216
Volume	106766262784
Space diagonal	8216.8490311068

Equilateral Triangle

Length = n

Perimeter	14232
Area	9745182.9508926
Altitude	4108.4245155534

Triangular Pyramid

Length = n

Surface area	9745182.9508926
Volume	12582524736.085
Height	2236.3430466327