Math question: If I divide a number by 2, multiply by 3, subtract 100, and then add 902, the result is 9004. What is the original number?

Let's represent the original number as 'x'. According to the given question, we can write the equation as (((x/2) * 3) - 100) + 902 = 9004. Simplifying, we get ((3x/2) - 100) + 902 = 9004. Combining like terms, (3x/2) + 802 = 9004. Subtracting 802 from both sides, (3x/2) = 8202. Finally, multiplying both sides by 2/3, we find x = 5468. Therefore, the original number is 5468.

Question: What is the square root of the sum of the digits of the prime factorization of 9004 multiplied by the largest prime number less than 100?

To find the prime factorization of 9004, we factorize it as 2^2 × 2251. The sum of the digits of 2251 is 10. The largest prime number less than 100 is 97. Multiplying 10 by 97 gives us 970. The square root of 970 is approximately 31.1127. Therefore, the answer is 31.1127.

Math question: How many ways can the number 9004 be expressed as the sum of two positive integers?

The number 9004 can be expressed as the sum of two positive integers in multiple ways. One such way is 1 + 9003. Another way is 2 + 9002. We can continue this pattern until we reach the midpoint of 9004, which occurs at 4502. Thus, 9004 can be expressed as the sum of two positive integers in 4501 different ways.

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

9004 (number)

9004 is an even 4-digits composite number following 9003 and preceding 9005. In scientific notation, it is written as 9.004 × 10^3. The sum of its digits is 13. It has a total of 3 prime factors and 6 positive divisors. There are 4500 positive integers (up to 9004) that are relatively prime to 9004.

Interesting facts

9004 has 6 divisors, whose sum is 15764
The reverse of 9004 is 4009
Previous prime number is 2

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 13
Digital Root 4

Name

Name	nine thousand four

Notation

Scientific notation	9.004 × 10^3
Engineering notation	9.004 × 10^3

Prime Factorization of 9004

Prime Factorization 2 × 2 × 2251

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	4502	Product of the distinct prime numbers

The prime factorization of 9004 is 2 × 2 × 2251. Since it has a total of 3 prime factors.

Most popular turbo-numbers

1, 7, 2, 56, 650, 828, 5182, 9254, 63835, 57174, 550961, 593065, 7751705, 6101264, 29440580, 69743874, 728000717, 568433745, 2789285664, 668207136

Basic calculations (n = 9004)

Multiplication

n×y

n×2	18008
n×3	27012
n×4	36016
n×5	45020

Division

n÷y

n÷2	4502
n÷3	3001.3333333333
n÷3	2251
n÷5	1800.8

Exponentiation

n^y

n²	81072016
n³	729972432064
n⁴	6572671778304256
n⁵	5.9180336691852E+19

Nth Root

^y√n

²√n	94.889409314212
³√n	20.803919379761
⁴√n	9.7411195103136
⁵√n	6.178557564384

Divisors of 9004

1, 2, 4, 2251, 4502, 9004

6 divisors

τ	Total Divisors	6	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-9003	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.16666666666667	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	6	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 9004 can be divided by 6 positive divisors. The sum of these divisors (counting 9004) is 1, the average is 0.16666666666667.

Base conversion 9004

Base	System	Value
2	Binary	10001100101100
3	Ternary	110100111
4	Quaternary	2030230
5	Quinary	242004
6	Senary	105404
8	Octal	21454
10	Decimal	9004
12	Duodecimal	5264
16	Hexadecimal	232c
20	Vigesimal	12a4
36	Base36	6y4

Cryptographic Hash Functions

md5	3799b2e805a7fa8b076fc020574a73b2
sha1	034e49ce6bff1d002903b25722176b9de092de62
sha256	002abd21b8e998d58fc9809cdcdb7d49219680649655ce71907546923f41577d
sha512	27a70c15644651c100df8b2a7d911ba621ca329e9071e1c2d5ac98f7a8103aaf51551e6700372ee8bd31a96f400295647455a41ce282eeef46c71f429619fe5d
ripemd-160	c367b8d389cb3b7fe47b42eb7839545721c43a88

9004 as geometric shapes

Circle

Radius = n

Diameter	18008
Circumference	56573.800505845
Area	254695249.87731

Sphere

Radius = n

Volume	3057701373193.8
Surface area	1018780999.5093
Circumference	56573.800505845

Square

Length = n

Perimeter	36016
Area	81072016
Diagonal	12733.578915607

Cube

Length = n

Surface area	486432096
Volume	729972432064
Space diagonal	15595.38547135

Equilateral Triangle

Length = n

Perimeter	27012
Area	35105212.696009
Altitude	7797.6927356751

Triangular Pyramid

Length = n

Surface area	35105212.696009
Volume	86028076131.948
Height	4244.5263052024