Math question: What is the positive square root of 3361, when rounded to the nearest whole number?

To find the square root of 3361, we can use a calculator or the long division method. The square root of 3361 is approximately 57.96. Rounding it to the nearest whole number gives us 58. Therefore, the positive square root of 3361 is 58. This can be verified by squaring 58, which results in 3364, slightly above 3361. Thus, 58 squared is the closest perfect square to 3361.

Question: What is the sum of the digits of the square root of 3361?

To find the square root of 3361, we take the prime factorization of 3361 as 7 * 17 * 29. Since the square root of a number is the product of the square roots of its prime factors, the square root of 3361 would be the square root of 7 times the square root of 17 times the square root of 29. After simplifying these square roots, we get √7 * √17 * √29. Now, adding the digits of the square root (√3361) is equivalent to adding the digits of the square root of each prime factor (√7 + √17 + √29). Evaluating these square roots, we have √7 ≈ 2.65, √17 ≈ 4.12, and √29 ≈ 5.39. Adding these approximate values together, we get 12.16. Therefore, the sum of the digits of the square root of 3361 is 1 + 2 + 1 + 6 = 10.

Math question: What is the square root of 3361?

To find the square root of 3361, we can use various methods like prime factorization, estimation, or iterative algorithms. Upon evaluating, we determine that the square root of 3361 is 58. Here's how: First, we can establish that 3361 = 57 × 59. Since 57 is not a perfect square, we can conclude that the square root of 3361 lies between 57 and 59. Using estimation, we observe that 58 × 58 = 3364, which is slightly higher than 3361. Therefore, our estimate for the square root is closer to 57. To refine our answer, we can use an iterative algorithm like the Babylonian method. Utilizing this algorithm, repeatedly averaging the number with its reciprocal approximation will converge to the actual square root. Iterating this process, we gradually obtain a more precise estimate, which in this case is approximately 57.73. However, since the question asks for an answer within 500 characters, we will stick with the simpler and more immediate approximation: 58. Thus, the square root of 3361 is approximately 58, serving as an approximation to two decimal places.

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

3361 (number)

3361 is an odd 4-digits prime number following 3360 and preceding 3362. In scientific notation, it is written as 3.361 × 10^3. The sum of its digits is 13. It has a total of 1 prime factors and 2 positive divisors. There are 3360 positive integers (up to 3361) that are relatively prime to 3361.

Interesting facts

3361 has 2 divisors, whose sum is 3362
The reverse of 3361 is 1633
Previous prime number is 1

Basic properties

Is Prime? yes
Number parity odd
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	three thousand three hundred sixty-one

Notation

Scientific notation	3.361 × 10^3
Engineering notation	3.361 × 10^3

Prime Factorization of 3361

Prime Factorization 3361

Composite number

ω	Distinct Factors	1	Total number of distinct prime factors
Ω	Total Factors	1	Total number of prime factors
rad	Radical	3361	Product of the distinct prime numbers

The prime factorization of 3361 is 3361. Since it has a total of 1 prime factors.

Most popular turbo-numbers

6, 9, 32, 10, 242, 615, 5521, 2246, 29983, 41774, 179410, 981405, 7757104, 7410670, 90970863, 13408358, 120919812, 458613415, 8381262311, 4099447083

Basic calculations (n = 3361)

Multiplication

n×y

n×2	6722
n×3	10083
n×4	13444
n×5	16805

Division

n÷y

n÷2	1680.5
n÷3	1120.3333333333
n÷3	840.25
n÷5	672.2

Exponentiation

n^y

n²	11296321
n³	37966934881
n⁴	127606868135041
n⁵	428886683801872801

Nth Root

^y√n

²√n	57.974132162543
³√n	14.97923051443
⁴√n	7.6140746097305
⁵√n	5.0733368936964

Divisors of 3361

1, 3361

2 divisors

τ	Total Divisors	2	Total number of the positive divisors of n
σ	Sum of Divisors	3362	Sum of all the positive divisors of n
s	Aliquot Sum	1	Sum of the proper positive divisors of n
A	Arithmetic Mean	1681	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	57.982756057297	Returns the nth root of the product of n divisors
H	Harmonic Mean	1.9994051160024	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 3361 can be divided by 2 positive divisors. The sum of these divisors (counting 3361) is 3362, the average is 1681.

Base conversion 3361

Base	System	Value
2	Binary	110100100001
3	Ternary	11121111
4	Quaternary	310201
5	Quinary	101421
6	Senary	23321
8	Octal	6441
10	Decimal	3361
12	Duodecimal	1b41
16	Hexadecimal	d21
20	Vigesimal	881
36	Base36	2ld

Cryptographic Hash Functions

md5	8d9766a69b764fefc12f56739424d136
sha1	712bfe417c7bde00124be0698ebbf69a43cf0d88
sha256	e8202f39fad74acd9b6d38a6038da9e8682e857bbdb977cf7b913963bfa2b393
sha512	dfd3325fb714292c9f0ac0451a78a02e3ec49ec64e0b1917ee77279ecb7e8bef8aa4f8e950ba6d7af03b942f39200f8379993545b93a352ecbcfa4995a823109
ripemd-160	12baf670c17d55ca16b9e4735debe518f4672311

3361 as geometric shapes

Circle

Radius = n

Diameter	6722
Circumference	21117.785817431
Area	35488439.066192

Sphere

Radius = n

Volume	159035524935.3
Surface area	141953756.26477
Circumference	21117.785817431

Square

Length = n

Perimeter	13444
Area	11296321
Diagonal	4753.171783136

Cube

Length = n

Surface area	67777926
Volume	37966934881
Space diagonal	5821.422764239

Equilateral Triangle

Length = n

Perimeter	10083
Area	4891450.4776518
Altitude	2910.7113821195

Triangular Pyramid

Length = n

Surface area	4891450.4776518
Volume	4474446185.8705
Height	1584.3905943787