Math question: What is the sum of the prime factors of the number 1005?

To find the prime factors, we start by factoring 1005 into its prime factors: 1005 = 3 × 5 × 67. Thus, the prime factors of 1005 are 3, 5, and 67. Adding them together, we get 3 + 5 + 67 = 75. Therefore, the sum of the prime factors of 1005 is equal to 75.

Question: What is the sum of the square root of 1005 multiplied by 2, divided by the square of the cube root of 1005, subtracted by the natural logarithm of 1005?

To solve this problem, let's break it down step by step. First, let's find the square root of 1005 which is approximately 31.709. Next, we multiply it by 2 to get 63.418. Now, let's find the cube root of 1005 which is approximately 10.072. Taking the square of the cube root gives us 101.452. Finally, we calculate the natural logarithm of 1005 which is approximately 6.912. Subtracting the natural logarithm from the previous result gives us 94.506. Hence, the answer to the math question is 94.506.

Math Question: If we add 5 to a number twice, and then multiply the result by 100, what number would result in 1005?

Let's solve the equation: 100 * (2(5 + x)) = 1005 First, we simplify inside the brackets: 100 * (10 + 2x) = 1005 Next, we distribute the 100: 1000 + 200x = 1005 To isolate x, let's subtract 1000 from both sides: 200x = 5 Finally, divide both sides by 200: x = 5/200 Therefore, the number that yields 1005 when doubled, added 5, and multiplied by 100 is 5/200.

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

1005 (number)

1005 is an odd 4-digits composite number following 1004 and preceding 1006. In scientific notation, it is written as 1.005 × 10^3. The sum of its digits is 6. It has a total of 2 prime factors and 4 positive divisors. There are 528 positive integers (up to 1005) that are relatively prime to 1005.

Interesting facts

1005 has 4 divisors, whose sum is 1088
The reverse of 1005 is 5001
Previous prime number is 15

Basic properties

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

Name

Name	one thousand five

Notation

Scientific notation	1.005 × 10^3
Engineering notation	1.005 × 10^3

Prime Factorization of 1005

Prime Factorization 15 × 67

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	1005	Product of the distinct prime numbers

The prime factorization of 1005 is 15 × 67. Since it has a total of 2 prime factors.

Most popular turbo-numbers

5, 1, 67, 42, 939, 851, 93, 6600, 76978, 49881, 845044, 277239, 7084071, 2404364, 82695998, 65348592, 264239405, 891599034, 2057395483, 4845928888

Basic calculations (n = 1005)

Multiplication

n×y

n×2	2010
n×3	3015
n×4	4020
n×5	5025

Division

n÷y

n÷2	502.5
n÷3	335
n÷3	251.25
n÷5	201

Exponentiation

n^y

n²	1010025
n³	1015075125
n⁴	1020150500625
n⁵	1025251253128125

Nth Root

^y√n

²√n	31.701734968295
³√n	10.016638965793
⁴√n	5.6304293769032
⁵√n	3.9850448389002

Divisors of 1005

1, 15, 67, 1005

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	-1004	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 1005 can be divided by 4 positive divisors. The sum of these divisors (counting 1005) is 1, the average is 0.25.

Base conversion 1005

Base	System	Value
2	Binary	1111101101
3	Ternary	1101020
4	Quaternary	33231
5	Quinary	13010
6	Senary	4353
8	Octal	1755
10	Decimal	1005
12	Duodecimal	6b9
16	Hexadecimal	3ed
20	Vigesimal	2a5
36	Base36	rx

Cryptographic Hash Functions

md5	2387337ba1e0b0249ba90f55b2ba2521
sha1	0477d720adf7c715b04850723531a5fb1bc5334b
sha256	7f861bcee185de001377d79e08af62e94b1e7718e2470e08520c917f8d953602
sha512	d87b0f6f2e33173f1e168edfbb6c741ec96aa28caa09895de8b2e8fec05351c30abe207573e408ff4a36c6d55debb877ad9a95a3ce91dae313d186f25196e1bc
ripemd-160	8ff247eb80101f185515ab44b7dafd72ae4b0f7a

1005 as geometric shapes

Circle

Radius = n

Diameter	2010
Circumference	6314.6012337155
Area	3173087.119942

Sphere

Radius = n

Volume	4251936740.7223
Surface area	12692348.479768
Circumference	6314.6012337155

Square

Length = n

Perimeter	4020
Area	1010025
Diagonal	1421.284630185

Cube

Length = n

Surface area	6060150
Volume	1015075125
Space diagonal	1740.7110616067

Equilateral Triangle

Length = n

Perimeter	3015
Area	437353.65422869
Altitude	870.35553080336

Triangular Pyramid

Length = n

Surface area	437353.65422869
Volume	119627750.71688
Height	473.76154339499