Math question: What is the sum of the prime factors of 2004?

To find the prime factors of 2004, we can first determine its prime factorization. Dividing 2004 by the smallest prime number, 2, gives us 1002. Additionally, dividing 1002 by 2, we get 501, which is an odd number. Thus, we can proceed by dividing 1002 by the next prime number, 3, yielding 334. Continuing with the same process, dividing 334 by 2, we get 167, a prime number. Ultimately, we have the prime factorization of 2004 as 2^2 × 3 × 167. Now, to find the sum of the prime factors, we add up these prime numbers: 2 + 2 + 3 + 167 = 174. Hence, the sum of the prime factors of 2004 is 174.

Math Question: How many distinct prime factors does the number 2004 have?

To find the distinct prime factors of 2004, we first need to factorize it. Starting with the prime factor 2, we have 2004 = 2 × 1002. Further factors are 1002 = 2 × 501. Continuing, we have 501 = 3 × 167. Therefore, the prime factorization of 2004 is 2 × 2 × 3 × 167. Now, we count the distinct prime factors, which are 2, 3, and 167. Hence, the number 2004 has three distinct prime factors. This process follows the fundamental theorem of arithmetic, where every integer greater than 1 can be represented as a unique product of primes.

Math Question: How many ways can the number 2004 be expressed as a product of two positive integers?

To find the number of ways 2004 can be expressed as a product of two positive integers, we need to calculate its prime factorization. Prime factorization of 2004: 2² × 3 × 167 Since 2004 has one factor of 2, one factor of 3, and one factor of 167, we can see that there are three prime factors. Now, let's consider the ways 2004 can be expressed as a product of two positive integers: 1. (2²) × (3) × (167) = 2004 2. (2²) × (3²) × (83.5) = 2004 3. (2²) × (1) × (1002) = 2004 4. (2²) × (6) × (167) = 2004 5. (2) × (3) × (334) = 2004 6. (2) × (1) × (2004) = 2004 7. (2) × (2) × (501) = 2004 8. (2) × (4) × (251) = 2004 Hence, there are eight ways to express the number 2004 as a product of two positive integers.

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

2004 (number)

2004 is an even 4-digits composite number following 2003 and preceding 2005. In scientific notation, it is written as 2.004 × 10^3. The sum of its digits is 6. It has a total of 4 prime factors and 12 positive divisors. There are 664 positive integers (up to 2004) that are relatively prime to 2004.

Interesting facts

2004 has 12 divisors, whose sum is 4704
The reverse of 2004 is 4002
Previous prime number is 3

Basic properties

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

Name

Name	two thousand four

Notation

Scientific notation	2.004 × 10^3
Engineering notation	2.004 × 10^3

Prime Factorization of 2004

Prime Factorization 2 × 2 × 3 × 167

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	1002	Product of the distinct prime numbers

The prime factorization of 2004 is 2 × 2 × 3 × 167. Since it has a total of 4 prime factors.

Most popular turbo-numbers

5, 5, 53, 70, 332, 920, 532, 5389, 39942, 89941, 725362, 135885, 9232021, 9792703, 9210069, 67413325, 876449480, 613002517, 1424274441, 7181505847

Basic calculations (n = 2004)

Multiplication

n×y

n×2	4008
n×3	6012
n×4	8016
n×5	10020

Division

n÷y

n÷2	1002
n÷3	668
n÷3	501
n÷5	400.8

Exponentiation

n^y

n²	4016016
n³	8048096064
n⁴	16128384512256
n⁵	32321282562561024

Nth Root

^y√n

²√n	44.766058571199
³√n	12.607604379179
⁴√n	6.6907442464347
⁵√n	4.5748782778584

Divisors of 2004

1, 2, 3, 4, 6, 12, 167, 334, 501, 668, 1002, 2004

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-2003	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 2004 can be divided by 12 positive divisors. The sum of these divisors (counting 2004) is 1, the average is 0.083333333333333.

Base conversion 2004

Base	System	Value
2	Binary	11111010100
3	Ternary	2202020
4	Quaternary	133110
5	Quinary	31004
6	Senary	13140
8	Octal	3724
10	Decimal	2004
12	Duodecimal	11b0
16	Hexadecimal	7d4
20	Vigesimal	504
36	Base36	1jo

Cryptographic Hash Functions

md5	b8b4b727d6f5d1b61fff7be687f7970f
sha1	667e624fb37408ba37177b3807fafa63c5a8332a
sha256	483029d526219f816e8e8f6a9de07b422633dba180ffc26faac22862a017519f
sha512	730bb68d3f5dff9d6abe26629612256baf7e5ad1a72c2c636bf5a1a5dcd14fbe497b31dbbc0918850bcc1bfcb3e7f25f4021a2fcdf05d948396c0ec871d1b3ec
ripemd-160	ab97746430b0a45e874b6df698333b50da494a9d

2004 as geometric shapes

Circle

Radius = n

Diameter	4008
Circumference	12591.503355588
Area	12616686.362299

Sphere

Radius = n

Volume	33711785960.063
Surface area	50466745.449196
Circumference	12591.503355588

Square

Length = n

Perimeter	8016
Area	4016016
Diagonal	2834.0839789957

Cube

Length = n

Surface area	24096096
Volume	8048096064
Space diagonal	3471.029818368

Equilateral Triangle

Length = n

Perimeter	6012
Area	1738985.9390024
Altitude	1735.514909184

Triangular Pyramid

Length = n

Surface area	1738985.9390024
Volume	948477217.08253
Height	944.69465966523