Math question: How many different ways can you write the number 206 as a sum of three positive integers where the first number is at least double the second number, and the second number is at least double the third number?

Let's assume the three numbers are x, y, and z. According to the conditions, x ≥ 2y and y ≥ 2z. We want to find the number of combinations where x + y + z = 206. To solve this, we'll break it down into cases. First, let's consider z = 1. In this case, we have 2y = y + 206 - x, so y = 206 - x. By exploring different values of y and finding corresponding values of x, we can determine the solution set. Upon extending this logic to other values of z (2, 3, 4, etc.), we can find all possible combinations. The total will depend on the range of x, y, and z. As the solution involves numerous calculations, the answer may exceed the given character limit.

Question: If 206 is multiplied by 5, divided by 2, and then subtracted by 100, what is the resulting number?

To find the resulting number, we begin by multiplying 206 by 5: 206 × 5 = 1030. Then, divide this product by 2: 1030 ÷ 2 = 515. Finally, subtract 100 from this quotient: 515 - 100 = 415. Therefore, the resulting number is 415.

Math question: What is the sum of the first five prime numbers greater than 200?

The first five prime numbers greater than 200 are 211, 223, 227, 229, and 233. When adding them together (211 + 223 + 227 + 229 + 233), we get a total of 1123.

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

206 (number)

206 is an even 3-digits composite number following 205 and preceding 207. In scientific notation, it is written as 2.06 × 10^2. The sum of its digits is 8. It has a total of 2 prime factors and 4 positive divisors. There are 102 positive integers (up to 206) that are relatively prime to 206.

Interesting facts

206 has 4 divisors, whose sum is 312
The reverse of 206 is 602
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 3
Sum of Digits 8
Digital Root 8

Name

Name	two hundred six

Notation

Scientific notation	2.06 × 10^2
Engineering notation	2.06 × 10^0

Prime Factorization of 206

Prime Factorization 2 × 103

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	206	Product of the distinct prime numbers

The prime factorization of 206 is 2 × 103. Since it has a total of 2 prime factors.

Most popular turbo-numbers

10, 10, 73, 41, 501, 715, 2461, 7255, 23192, 79134, 161216, 186143, 9924540, 5767469, 83887242, 42266675, 723105397, 326331240, 7287495177, 8212945695

Basic calculations (n = 206)

Multiplication

n×y

n×2	412
n×3	618
n×4	824
n×5	1030

Division

n÷y

n÷2	103
n÷3	68.666666666667
n÷3	51.5
n÷5	41.2

Exponentiation

n^y

n²	42436
n³	8741816
n⁴	1800814096
n⁵	370967703776

Nth Root

^y√n

²√n	14.352700094407
³√n	5.9059405836245
⁴√n	3.7884957561554
⁵√n	2.9025081245965

Divisors of 206

1, 2, 103, 206

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	-205	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 206 can be divided by 4 positive divisors. The sum of these divisors (counting 206) is 1, the average is 0.25.

Base conversion 206

Base	System	Value
2	Binary	11001110
3	Ternary	21122
4	Quaternary	3032
5	Quinary	1311
6	Senary	542
8	Octal	316
10	Decimal	206
12	Duodecimal	152
16	Hexadecimal	ce
20	Vigesimal	a6
36	Base36	5q

Cryptographic Hash Functions

md5	7eabe3a1649ffa2b3ff8c02ebfd5659f
sha1	4afa8f9e90756f0f919a124a1dfbba19be004edc
sha256	5cf4e26bd3d87da5e03f80a43a64f1220a1f4ba9e1d6348caea83c06353c3f39
sha512	33d7bcca06466d44b59bcb0683b2542acf08e476e2a7faffb3800f6a01b0c13a9049999a42f3dd159db0d85c7208cfc67f933c927cf48878058f0931e97ee1a3
ripemd-160	192a68756e74d2fd3dd96f2631a138bd1caffffb

206 as geometric shapes

Circle

Radius = n

Diameter	412
Circumference	1294.336173279
Area	133316.62584774

Sphere

Radius = n

Volume	36617633.232845
Surface area	533266.50339095
Circumference	1294.336173279

Square

Length = n

Perimeter	824
Area	42436
Diagonal	291.32799384886

Cube

Length = n

Surface area	254616
Volume	8741816
Space diagonal	356.80246635919

Equilateral Triangle

Length = n

Perimeter	618
Area	18375.327017498
Altitude	178.40123317959

Triangular Pyramid

Length = n

Surface area	18375.327017498
Volume	1030232.8955808
Height	97.109331282953