Math question: How many ways can the number 2184 be expressed as a product of two positive integers greater than 1?

To find the prime factorization of 2184, we divide it by the smallest prime numbers successively: 2, 2, 2, 3, 7. The exponents are 3, and 1 respectively. Hence, to express 2184 as a product of two positive integers greater than 1, we can combine the prime factors in pairs taking into account all possible exponents: (2^0 * 2^1 * 2^2 * 2^3) * (3^0 * 3^1 * 3^2) * (7^0) = 2184. However, since we need two distinct numbers, we can rearrange the exponents to obtain different pairs. Therefore, there are a total of (3+1)(1+1)(1+1) = 32 combinations.

Math Question: Find the sum of all the prime factors of 2184.

To find the prime factors of 2184, we divide 2184 by its smallest prime factor, which is 2. After dividing, we get 1092. Dividing 1092 by 2 again, we get 546. Continuing this process, we divide 546 by 2 again to get 273, and divide 273 by 3 to get 91. Dividing 91 by 7 yields 13. Finally, dividing 13 by itself, we get 1. Thus, the prime factors of 2184 are 2, 2, 2, 3, 7, and 13. The sum of these prime factors is 2 + 2 + 2 + 3 + 7 + 13 = 29. Therefore, the sum of all prime factors of 2184 is 29.

Math Question: If the number 2184 is multiplied by 9 and divided by 6, what is the result when it is added to the square of 12 and then multiplied by the cube root of 27?

To solve this equation, we first multiply 2184 by 9, obtaining 19,656. Then, we divide it by 6, giving us 3,276. Next, we find the square of 12, which is 144. Adding that to 3,276 yields 3,420. Finally, we calculate the cube root of 27, which equals 3. Multiplying 3,420 by 3, we obtain the final result of 10,260. Hence, after following these steps, the answer is 10,260.

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

2184 (number)

2184 is an even 4-digits composite number following 2183 and preceding 2185. In scientific notation, it is written as 2.184 × 10^3. The sum of its digits is 15. It has a total of 6 prime factors and 32 positive divisors. There are 576 positive integers (up to 2184) that are relatively prime to 2184.

Interesting facts

2184 has 32 divisors, whose sum is 6720
The reverse of 2184 is 4812
Previous prime number is 7

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 15
Digital Root 6

Name

Name	two thousand one hundred eighty-four

Notation

Scientific notation	2.184 × 10^3
Engineering notation	2.184 × 10^3

Prime Factorization of 2184

Prime Factorization 2 × 2 × 2 × 3 × 7 × 13

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	6	Total number of prime factors
rad	Radical	546	Product of the distinct prime numbers

The prime factorization of 2184 is 2 × 2 × 2 × 3 × 7 × 13. Since it has a total of 6 prime factors.

Most popular turbo-numbers

6, 7, 79, 93, 994, 928, 3469, 4292, 15414, 30629, 470644, 729084, 7020919, 318444, 50892839, 54281365, 120283195, 86877886, 6184698712, 8838141321

Basic calculations (n = 2184)

Multiplication

n×y

n×2	4368
n×3	6552
n×4	8736
n×5	10920

Division

n÷y

n÷2	1092
n÷3	728
n÷3	546
n÷5	436.8

Exponentiation

n^y

n²	4769856
n³	10417365504
n⁴	22751526260736
n⁵	49689333353447424

Nth Root

^y√n

²√n	46.733285782192
³√n	12.974308233433
⁴√n	6.8361747916647
⁵√n	4.6542587811961

Divisors of 2184

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 21, 24, 26, 28, 39, 42, 52, 56, 78, 84, 91, 104, 156, 168, 182, 273, 312, 364, 546, 728, 1092, 2184

32 divisors

τ	Total Divisors	32	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2183	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.03125	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	32	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2184 can be divided by 32 positive divisors. The sum of these divisors (counting 2184) is 1, the average is 0.03125.

Base conversion 2184

Base	System	Value
2	Binary	100010001000
3	Ternary	2222220
4	Quaternary	202020
5	Quinary	32214
6	Senary	14040
8	Octal	4210
10	Decimal	2184
12	Duodecimal	1320
16	Hexadecimal	888
20	Vigesimal	594
36	Base36	1oo

Cryptographic Hash Functions

md5	00a03ec6533ca7f5c644d198d815329c
sha1	f346a479862d20b8bc65bd3f4109131bc565e109
sha256	8e4e975f902448d84ed0ccf871f6439958625810e15b748dbe355c5b08ac073d
sha512	525253f9609405cf038809229ceb4b75166257c6d3f50f177cd6854868c00c9ea1290f0c2cb8c3c8423a971f18216b6df4cb36aeb334736554421601934e2f4b
ripemd-160	350c537507f9c78fdbe3fc0e69d4d668ab6b97e3

2184 as geometric shapes

Circle

Radius = n

Diameter	4368
Circumference	13722.47671088
Area	14984944.568281

Sphere

Radius = n

Volume	43636158582.835
Surface area	59939778.273125
Circumference	13722.47671088

Square

Length = n

Perimeter	8736
Area	4769856
Diagonal	3088.6424202228

Cube

Length = n

Surface area	28619136
Volume	10417365504
Space diagonal	3782.7989637304

Equilateral Triangle

Length = n

Perimeter	6552
Area	2065408.2341968
Altitude	1891.3994818652

Triangular Pyramid

Length = n

Surface area	2065408.2341968
Volume	1227698298.3295
Height	1029.5474734076