Math question: What is the product of the prime factors of 7024?

To find the prime factors of 7024, we can prime factorize it as: 2^4 × 439. Therefore, the prime factors are 2 and 439. The product of these prime factors is 2 × 439 = 878.

Question: What is the value of the sum of the digits of the square root of the product of 7024 and the cube of its prime factors, when divided by the sum of the first 10 prime numbers?

To find the square root of 7024, we first need to find its prime factors. The prime factors of 7024 are 2, 3, 293. Since we need to calculate the cube of prime factors, we get (2^3) * (3^3) * (293^3). The product of these cubes is 2,035,393,136. Now, taking the square root of this value yields 45,106. The sum of the digits in 45,106 is 16. Next, we calculate the sum of the first 10 prime numbers, which are 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Their sum is 129. Finally, dividing 16 by 129 gives the value 0.124.

What is the square root of 7024?

The square root of 7024 is approximately 83.871.

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

7024 (number)

7024 is an even 4-digits composite number following 7023 and preceding 7025. In scientific notation, it is written as 7.024 × 10^3. The sum of its digits is 13. It has a total of 5 prime factors and 10 positive divisors. There are 3504 positive integers (up to 7024) that are relatively prime to 7024.

Interesting facts

7024 has 10 divisors, whose sum is 13640
The reverse of 7024 is 4207
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	seven thousand twenty-four

Notation

Scientific notation	7.024 × 10^3
Engineering notation	7.024 × 10^3

Prime Factorization of 7024

Prime Factorization 2 × 2 × 2 × 2 × 439

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	5	Total number of prime factors
rad	Radical	878	Product of the distinct prime numbers

The prime factorization of 7024 is 2 × 2 × 2 × 2 × 439. Since it has a total of 5 prime factors.

Most popular turbo-numbers

4, 6, 25, 47, 971, 236, 3260, 5166, 13712, 51705, 623837, 350377, 4060845, 874875, 69942101, 43699465, 413836675, 107982744, 2750069439, 9766774356

Basic calculations (n = 7024)

Multiplication

n×y

n×2	14048
n×3	21072
n×4	28096
n×5	35120

Division

n÷y

n÷2	3512
n÷3	2341.3333333333
n÷3	1756
n÷5	1404.8

Exponentiation

n^y

n²	49336576
n³	346540109824
n⁴	2434097731403776
n⁵	1.709710246538E+19

Nth Root

^y√n

²√n	83.809307359028
³√n	19.151148960643
⁴√n	9.15474234258
⁵√n	5.8791819440078

Divisors of 7024

1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024

10 divisors

τ	Total Divisors	10	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7023	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.1	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	10	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7024 can be divided by 10 positive divisors. The sum of these divisors (counting 7024) is 1, the average is 0.1.

Base conversion 7024

Base	System	Value
2	Binary	1101101110000
3	Ternary	100122011
4	Quaternary	1231300
5	Quinary	211044
6	Senary	52304
8	Octal	15560
10	Decimal	7024
12	Duodecimal	4094
16	Hexadecimal	1b70
20	Vigesimal	hb4
36	Base36	5f4

Cryptographic Hash Functions

md5	006c64491cb8acf2092ce0e0341797fe
sha1	336584e5da1d34c62bff5e9c71114a39834dc23e
sha256	79ef20635e7df738c608556ee967254fc7cc01c8444fbd6f6bd9e083799592f4
sha512	d1203977796bee58adadaa5fee65f5eef069843fb2af479e1bc721fecc2e266e66587dfc31945691138b545cd619244a88ba75a08db3b513558f2ee5eaa476ee
ripemd-160	0598d170cb557232e0867ed49303ce42683426b8

7024 as geometric shapes

Circle

Radius = n

Diameter	14048
Circumference	44133.093597629
Area	154995424.71487

Sphere

Radius = n

Volume	1451583817596.4
Surface area	619981698.8595
Circumference	44133.093597629

Square

Length = n

Perimeter	28096
Area	49336576
Diagonal	9933.4360621086

Cube

Length = n

Surface area	296019456
Volume	346540109824
Space diagonal	12165.924872364

Equilateral Triangle

Length = n

Perimeter	21072
Area	21363364.075871
Altitude	6082.9624361819

Triangular Pyramid

Length = n

Surface area	21363364.075871
Volume	40840143601.614
Height	3311.1453540362