Math question: What is the smallest prime number greater than 6066 that is divisible by 7?

The smallest prime number greater than 6066 is 6067. To check if it is divisible by 7, we divide 6067 by 7, which gives us a quotient of 866 and a remainder of 5. Since the remainder is not zero, 6067 is not divisible by 7. Therefore, the next prime number that is divisible by 7 is 6079.

What is the sum of the digits of the number 6066 after adding the square root of the difference between its digits multiplied by the factorial of its units digit, divided by the product of its tens and hundreds digits, and finally subtracting the cube root of its thousands digit multiplied by the cosine of its units digit?

To find the sum of the digits of the number 6066, we first calculate the difference between 6 and 6, which is 0. The square root of 0 is also 0. The units digit of 6066 is 6, so the factorial of 6 is 720. The tens digit is 0 and the hundreds digit is 6, so their product is 0. The thousands digit is 6, and the cube root of 6 is approximately 1.817. The cosine of 6 is approximately 0.960. Now, we multiply the cube root of 6 by its corresponding cosine, which gives us approximately 1.744. Finally, we subtract this value from 0 and obtain 0. Thus, the sum of the digits of the number 6066 is 0.

Math question: Find the largest prime factor of the number 6066.

To find the largest prime factor of 6066, we begin by dividing it by the smallest prime number, 2. Dividing 6066 by 2 results in 3033, which is not divisible by 2. Moving on, we divide by the next prime, 3, giving us 2022. Continuing the process, we divide by 3 again, obtaining 674. However, 674 is not divisible by 3. Moving on, we divide by 5, obtaining 134. Dividing further, we get 67, which is a prime number. Therefore, the largest prime factor of 6066 is 67.

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

6066 (number)

6066 is an even 4-digits composite number following 6065 and preceding 6067. In scientific notation, it is written as 6.066 × 10^3. The sum of its digits is 18. It has a total of 3 prime factors and 8 positive divisors. There are 2016 positive integers (up to 6066) that are relatively prime to 6066.

Interesting facts

6066 has 8 divisors, whose sum is 10140
The reverse of 6066 is 6606
Previous prime number is 9

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 18
Digital Root 9

Name

Name	six thousand sixty-six

Notation

Scientific notation	6.066 × 10^3
Engineering notation	6.066 × 10^3

Prime Factorization of 6066

Prime Factorization 2 × 9 × 337

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	3	Total number of prime factors
rad	Radical	6066	Product of the distinct prime numbers

The prime factorization of 6066 is 2 × 9 × 337. Since it has a total of 3 prime factors.

Most popular turbo-numbers

8, 6, 73, 75, 884, 80, 2691, 2033, 64251, 20032, 601100, 913155, 228863, 7646100, 99990185, 89757835, 786767054, 94715630, 5244287141, 9996539318

Basic calculations (n = 6066)

Multiplication

n×y

n×2	12132
n×3	18198
n×4	24264
n×5	30330

Division

n÷y

n÷2	3033
n÷3	2022
n÷3	1516.5
n÷5	1213.2

Exponentiation

n^y

n²	36796356
n³	223206695496
n⁴	1353971814878736
n⁵	8213193029054412576

Nth Root

^y√n

²√n	77.884529914483
³√n	18.237590863718
⁴√n	8.8252212388406
⁵√n	5.7092686756732

Divisors of 6066

1, 2, 9, 18, 337, 674, 3033, 6066

8 divisors

τ	Total Divisors	8	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6065	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.125	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	8	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6066 can be divided by 8 positive divisors. The sum of these divisors (counting 6066) is 1, the average is 0.125.

Base conversion 6066

Base	System	Value
2	Binary	1011110110010
3	Ternary	22022200
4	Quaternary	1132302
5	Quinary	143231
6	Senary	44030
8	Octal	13662
10	Decimal	6066
12	Duodecimal	3616
16	Hexadecimal	17b2
20	Vigesimal	f36
36	Base36	4oi

Cryptographic Hash Functions

md5	2be5f9c2e3620eb73c2972d7552b6cb5
sha1	41fa207c56885ee5535ad38a6cd728a01891cdfe
sha256	47ea147feec375157fdc4ef94bce6803be3f847399e52aab06d2414ce2ea6b92
sha512	3c0e06c0b6ff7131c89c716884c00c3f5990c39835026ea49a5cf99f0b7385280e1552d90b73853f8fd4719cf156135368d9e26907f00bcf232d1c4d0bd6f41f
ripemd-160	024211e938dc22150c2a6da0497aecd40796b562

6066 as geometric shapes

Circle

Radius = n

Diameter	12132
Circumference	38113.802073351
Area	115599161.68847

Sphere

Radius = n

Volume	934966019736.38
Surface area	462396646.7539
Circumference	38113.802073351

Square

Length = n

Perimeter	24264
Area	36796356
Diagonal	8578.6194693552

Cube

Length = n

Surface area	220778136
Volume	223206695496
Space diagonal	10506.620198713

Equilateral Triangle

Length = n

Perimeter	18198
Area	15933289.531348
Altitude	5253.3100993564

Triangular Pyramid

Length = n

Surface area	15933289.531348
Volume	26305161331.91
Height	2859.5398231184