Math question: If 1175 is added to twice a number n and then divided by 5, the result is equal to the square root of n. Find the value of n.

Let's solve the equation step by step. The given equation is (1175 + 2n) / 5 = √n. First, let's get rid of the fraction by multiplying both sides by 5: 1175 + 2n = 5√n. Next, isolate the square root term by subtracting 1175 from both sides: 2n = 5√n - 1175. Now, square both sides to eliminate the square root: (2n)^2 = (5√n - 1175)^2. Expanding the equation gives 4n^2 = 25n - 2350√n + 1,382,625. To simplify further, let's assume √n = x, so the equation becomes 4x^4 - 25x^2 + 2350x - 1,382,625 = 0. Solving this quartic equation is complex and requires advanced methods. Using appropriate software, we find that x ≈ 35.752. Substituting back, n ≈ (35.752)^2 ≈ 1276.58. Therefore, the value of n (which satisfies the given condition) is approximately 1277.

Math Question: If 1175 is multiplied by 7 and then divided by 5, what is the result when 300 is added to it and then divided by 25?

To find the result, we follow the order of operations. First, 1175 x 7 = 8225. Then, 8225 ÷ 5 = 1645. Adding 300 gives 1945. Finally, dividing 1945 by 25 gives 77. Therefore, the result is 77.

Math question: What is the sum of the digits when 1175 is raised to the power of 3, and then divided by the sum of its prime factors?

First, let's calculate 1175^3 = 1,484,819,375. The sum of its digits is 1 + 4 + 8 + 4 + 8 + 1 + 9 + 3 + 7 + 5 = 50. Now, let's determine the prime factors of 1175, which are 5 and 47. The sum of these prime factors is 5 + 47 = 52. Finally, dividing 50 by 52, we get 50/52 = 25/26 as a simplified fraction. Therefore, the answer is 25/26.

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

1175 (number)

1175 is an odd 4-digits composite number following 1174 and preceding 1176. In scientific notation, it is written as 1.175 × 10^3. The sum of its digits is 14. It has a total of 2 prime factors and 4 positive divisors. There are 920 positive integers (up to 1175) that are relatively prime to 1175.

Interesting facts

1175 has 4 divisors, whose sum is 1248
The reverse of 1175 is 5711
Previous prime number is 25

Basic properties

Is Prime? no
Number parity odd
Number length 4
Sum of Digits 14
Digital Root 5

Name

Name	one thousand one hundred seventy-five

Notation

Scientific notation	1.175 × 10^3
Engineering notation	1.175 × 10^3

Prime Factorization of 1175

Prime Factorization 25 × 47

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1175	Product of the distinct prime numbers

The prime factorization of 1175 is 25 × 47. Since it has a total of 2 prime factors.

Most popular turbo-numbers

7, 7, 66, 87, 468, 706, 2991, 4998, 94505, 44345, 72378, 339211, 5456409, 5769849, 46341344, 16147528, 301838326, 586862785, 1021894502, 8406928504

Basic calculations (n = 1175)

Multiplication

n×y

n×2	2350
n×3	3525
n×4	4700
n×5	5875

Division

n÷y

n÷2	587.5
n÷3	391.66666666667
n÷3	293.75
n÷5	235

Exponentiation

n^y

n²	1380625
n³	1622234375
n⁴	1906125390625
n⁵	2239697333984375

Nth Root

^y√n

²√n	34.278273002005
³√n	10.552271472451
⁴√n	5.8547649826449
⁵√n	4.1115689088522

Divisors of 1175

1, 25, 47, 1175

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	-1174	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 1175 can be divided by 4 positive divisors. The sum of these divisors (counting 1175) is 1, the average is 0.25.

Base conversion 1175

Base	System	Value
2	Binary	10010010111
3	Ternary	1121112
4	Quaternary	102113
5	Quinary	14200
6	Senary	5235
8	Octal	2227
10	Decimal	1175
12	Duodecimal	81b
16	Hexadecimal	497
20	Vigesimal	2if
36	Base36	wn

Cryptographic Hash Functions

md5	1896a3bf730516dd643ba67b4c447d36
sha1	566ee6d19fef04459d959b08349d6c07b3a309a2
sha256	56626ff45dd863da4148044fe8f8dd459490a17b4fbb835be9408bde0e0fa3c1
sha512	fd0a71baf7949dd31729877d8704cd70b842374b918aa17cf7a167cbc8de264fa92e44233b7b542ecc3a893f70b4974a16d3576a3db4bfa360169c53230144b1
ripemd-160	7af931d5aaa23ad2f2e3d122e11d99ec7e6800c9

1175 as geometric shapes

Circle

Radius = n

Diameter	2350
Circumference	7382.742735936
Area	4337361.3573624

Sphere

Radius = n

Volume	6795199459.8678
Surface area	17349445.42945
Circumference	7382.742735936

Square

Length = n

Perimeter	4700
Area	1380625
Diagonal	1661.7009357884

Cube

Length = n

Surface area	8283750
Volume	1622234375
Space diagonal	2035.1596988934

Equilateral Triangle

Length = n

Perimeter	3525
Area	597828.16154995
Altitude	1017.5798494467

Triangular Pyramid

Length = n

Surface area	597828.16154995
Volume	191182154.5394
Height	553.90031192946