Question: Find the smallest positive integer n such that (7201 + n) is divisible by 9 and 11, but not divisible by 8 or 10.

To solve the given problem, we need to find the factors of 9 and 11, which are 3 and 11, respectively. Since (7201 + n) is divisible by both 9 and 11, it implies that (7201 + n) is also divisible by their least common multiple, which is 33. Now, we need to find the smallest n that satisfies (7201 + n) ≡ 0 (mod 33). By subtracting multiples of 33 from 7201, we find that the smallest integer n that meets these criteria is n = 22. Thus, (7201 + 22) = 7223 is the answer.

Math question: What is the sum of the prime factors of 7201?

To find the prime factors of 7201, we break it down into its prime factors: 7201 = 7 * 103 * 11. The sum of these prime factors is 7 + 103 + 11 = 121. Hence, the answer is 121.

Math question: What is the largest prime factor of 7201?

To find the largest prime factor of 7201, we observe that 7201 is not divisible by 2, 3, 5, or 7. We start checking divisibility by primes larger than 7. Performing a division, we find that 7201 ÷ 13 = 554 with remainder 7. Continuing, we find that 554 ÷ 17 = 32 with remainder 10. Further division gives 32 ÷ 19 = 1 with remainder 13. The quotient becomes 1, which means 7201 is not divisible by any prime larger than 19. Therefore, the largest prime factor of 7201 is 19.

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

7201 (number)

7201 is an odd 4-digits composite number following 7200 and preceding 7202. In scientific notation, it is written as 7.201 × 10^3. The sum of its digits is 10. It has a total of 2 prime factors and 4 positive divisors. There are 6804 positive integers (up to 7201) that are relatively prime to 7201.

Interesting facts

7201 has 4 divisors, whose sum is 7600
The reverse of 7201 is 1027
Previous prime number is 19

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 10
Digital Root 1

Name

Name	seven thousand two hundred one

Notation

Scientific notation	7.201 × 10^3
Engineering notation	7.201 × 10^3

Prime Factorization of 7201

Prime Factorization 19 × 379

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	7201	Product of the distinct prime numbers

The prime factorization of 7201 is 19 × 379. Since it has a total of 2 prime factors.

Most popular turbo-numbers

4, 5, 64, 16, 213, 486, 5743, 9400, 99987, 49103, 467275, 64145, 3762126, 8533923, 88817657, 79667662, 85483348, 540120771, 6970510038, 1908786246

Basic calculations (n = 7201)

Multiplication

n×y

n×2	14402
n×3	21603
n×4	28804
n×5	36005

Division

n÷y

n÷2	3600.5
n÷3	2400.3333333333
n÷3	1800.25
n÷5	1440.2

Exponentiation

n^y

n²	51854401
n³	373403541601
n⁴	2688878903068801
n⁵	1.9362616980998E+19

Nth Root

^y√n

²√n	84.858706094307
³√n	19.310681622381
⁴√n	9.2118785323248
⁵√n	5.9085179899495

Divisors of 7201

1, 19, 379, 7201

4 divisors

τ	Total Divisors	4	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-7200	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.25	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	4	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 7201 can be divided by 4 positive divisors. The sum of these divisors (counting 7201) is 1, the average is 0.25.

Base conversion 7201

Base	System	Value
2	Binary	1110000100001
3	Ternary	100212201
4	Quaternary	1300201
5	Quinary	212301
6	Senary	53201
8	Octal	16041
10	Decimal	7201
12	Duodecimal	4201
16	Hexadecimal	1c21
20	Vigesimal	i01
36	Base36	5k1

Cryptographic Hash Functions

md5	f9ab16852d455ce9203da64f4fc7f92d
sha1	f8b365f8e04b627f0cf6dc01503d081b16edd0a0
sha256	5920f16d3d80af59daae3992dc7443bef8f93dce3312a3a13659886b4441d0e1
sha512	9a86e72e708e14e7cd7a55f7ce907e5f580d34b895adc9c88854e29a57f449adbe59b95323dc89273cabc642738792c33208b112fedf9f1ad951a7d5dda99da8
ripemd-160	44f07cb04eeeae6f4fdccd9de6c98da3d1dc777e

7201 as geometric shapes

Circle

Radius = n

Diameter	14402
Circumference	45245.217397
Area	162905405.2379

Sphere

Radius = n

Volume	1564109097490.8
Surface area	651621620.9516
Circumference	45245.217397

Square

Length = n

Perimeter	28804
Area	51854401
Diagonal	10183.751862649

Cube

Length = n

Surface area	311126406
Volume	373403541601
Space diagonal	12472.497865303

Equilateral Triangle

Length = n

Perimeter	21603
Area	22453614.282013
Altitude	6236.2489326517

Triangular Pyramid

Length = n

Surface area	22453614.282013
Volume	44006029397.523
Height	3394.5839542162