Question: What is the smallest positive integer that is divisible by 3, 9, and 19?

To find the smallest positive integer divisible by 3, 9, and 19, we need to find their least common multiple (LCM). We start by finding the prime factorization of each number: 3 = 3 9 = 3^2 19 = 19 Now, we take the highest power of each prime factor: 3^2 × 19 = 171. However, this is not divisible by 9, so we need to multiply it by 3 again to get a multiple of 9: 3 × 3^2 × 19 = 513. This is divisible by 3, 9, and 19, but it is not the smallest positive integer since 171 is already divisible by 3 and 19. Hence, the answer is 171. Therefore, the smallest positive integer divisible by 3, 9, and 19 is 171.

Question: The sum of a certain number and its square is equal to 171. What is this number?

Let's assume the number is x. According to the question, the sum of x and its square is 171, which can be expressed as x + x^2 = 171. Rearranging this equation, we have x^2 + x - 171 = 0. Factoring or using the quadratic formula, we find that x = -18 or x = 9. Since the number cannot be negative, the answer is x = 9. Therefore, the number is 9.

Math question: What is the sum of the prime factors of 171?

To find the prime factors, we divide 171 by the smallest prime number, which is 3. We get 57. Continuing this process, we divide 57 by 3 again and get 19. Now, as 19 is a prime number, we stop dividing. Therefore, the prime factors of 171 are 3 and 19. To find their sum, we add them: 3 + 19 = 22. So, the sum of the prime factors of 171 is 22.

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

171 (number)

171 is an odd 3-digits composite number following 170 and preceding 172. In scientific notation, it is written as 1.71 × 10^2. The sum of its digits is 9. It has a total of 2 prime factors and 4 positive divisors. There are 108 positive integers (up to 171) that are relatively prime to 171.

Interesting facts

171 has 4 divisors, whose sum is 200
The reverse of 171 is 171
Previous prime number is 9

Basic properties

Is Prime? no
Number parity odd
Number length 3
Sum of Digits 9
Digital Root 9

Name

Name	one hundred seventy-one

Notation

Scientific notation	1.71 × 10^2
Engineering notation	1.71 × 10^0

Prime Factorization of 171

Prime Factorization 9 × 19

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	171	Product of the distinct prime numbers

The prime factorization of 171 is 9 × 19. Since it has a total of 2 prime factors.

Most popular turbo-numbers

10, 4, 93, 72, 955, 236, 7720, 7820, 73990, 78293, 209130, 974380, 9457271, 4088651, 88133980, 56757283, 415532890, 617035723, 1048241760, 5201249390

Basic calculations (n = 171)

Multiplication

n×y

n×2	342
n×3	513
n×4	684
n×5	855

Division

n÷y

n÷2	85.5
n÷3	57
n÷3	42.75
n÷5	34.2

Exponentiation

n^y

n²	29241
n³	5000211
n⁴	855036081
n⁵	146211169851

Nth Root

^y√n

²√n	13.076696830622
³√n	5.5504991029115
⁴√n	3.6161715709604
⁵√n	2.7963995403973

Divisors of 171

1, 9, 19, 171

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	-170	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 171 can be divided by 4 positive divisors. The sum of these divisors (counting 171) is 1, the average is 0.25.

Base conversion 171

Base	System	Value
2	Binary	10101011
3	Ternary	20100
4	Quaternary	2223
5	Quinary	1141
6	Senary	443
8	Octal	253
10	Decimal	171
12	Duodecimal	123
16	Hexadecimal	ab
20	Vigesimal	8b
36	Base36	4r

Cryptographic Hash Functions

md5	a4a042cf4fd6bfb47701cbc8a1653ada
sha1	94940e534aedd3f6d9bb77c6322f6641dbb7432a
sha256	284de502c9847342318c17d474733ef468fbdbe252cddf6e4b4be0676706d9d0
sha512	1c29cfd5dad36585210f1e82dfbae8156d47177d7971d6e30ba7ffe730a8eb5e1c614ed1c0fea7212f69af11f01d5ee1b092886ab032143f7d087fe35f3cbdfd
ripemd-160	342055fb7701b2fa9688ca1295ccca3494766538

171 as geometric shapes

Circle

Radius = n

Diameter	342
Circumference	1074.4246875277
Area	91863.310783619

Sphere

Radius = n

Volume	20944834.858665
Surface area	367453.24313448
Circumference	1074.4246875277

Square

Length = n

Perimeter	684
Area	29241
Diagonal	241.8305191658

Cube

Length = n

Surface area	175446
Volume	5000211
Space diagonal	296.18068809428

Equilateral Triangle

Length = n

Perimeter	513
Area	12661.72441603
Altitude	148.09034404714

Triangular Pyramid

Length = n

Surface area	12661.72441603
Volume	589280.51757726
Height	80.610173055266