Math question: What is the smallest prime number greater than 6711 that is also divisible by 3, 5, and 7?

To find the smallest prime number greater than 6711 that is divisible by 3, 5, and 7, we start by looking for the smallest multiple of the least common multiple (LCM) of 3, 5, and 7 greater than 6711. The LCM of 3, 5, and 7 is 105. So, we search for the smallest multiple of 105 greater than 6711. By dividing 6711 by 105, we get 63 as the quotient with a remainder of 6. Therefore, we need to find the smallest prime number greater than 6711 with a remainder of 6 when divided by 105. Starting from 6717 (6711 + 6), we can find that the prime number 6727 satisfies our condition. It is divisible by 3, 5, and 7, and it is the smallest prime number greater than 6711. Hence, the answer is 6727.

Question: What is the square root of the product of 6711 and the sum of its digits multiplied by 3, divided by the difference of its digits and 4 times the square of its units digit?

To find the answer, first, calculate the sum of the digits of 6711 which is 6 + 7 + 1 + 1 = 15. Then multiply it by 3 to get 45. Next, calculate the difference of the digits, which is 7 - 1 = 6. Now find the square of the units digit of 6711, which is 1^2 = 1, and multiply it by 4 to get 4. Subtract the result from the previous step, i.e., 45 - 4 = 41. Multiply this by the number 6711 to get 275,151. Finally, calculate the square root of 275,151 which is approximately 524.53. Hence, the square root of the product is approximately 524.53.

What is the sum of the digits of the number 6711?

The sum of the digits of 6711 is 6+7+1+1=15.

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

6711 (number)

6711 is an odd 4-digits composite number following 6710 and preceding 6712. In scientific notation, it is written as 6.711 × 10^3. The sum of its digits is 15. It has a total of 2 prime factors and 4 positive divisors. There are 4472 positive integers (up to 6711) that are relatively prime to 6711.

Interesting facts

6711 has 4 divisors, whose sum is 8952
The reverse of 6711 is 1176
Previous prime number is 3

Basic properties

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

Name

Name	six thousand seven hundred eleven

Notation

Scientific notation	6.711 × 10^3
Engineering notation	6.711 × 10^3

Prime Factorization of 6711

Prime Factorization 3 × 2237

Composite number

ω	Distinct Factors	2	Total number of distinct prime factors
Ω	Total Factors	2	Total number of prime factors
rad	Radical	6711	Product of the distinct prime numbers

The prime factorization of 6711 is 3 × 2237. Since it has a total of 2 prime factors.

Most popular turbo-numbers

7, 8, 50, 53, 267, 598, 7252, 6441, 60443, 68525, 545382, 899834, 8669398, 9511560, 71078552, 69003680, 595275185, 675699628, 8729402573, 7459116889

Basic calculations (n = 6711)

Multiplication

n×y

n×2	13422
n×3	20133
n×4	26844
n×5	33555

Division

n÷y

n÷2	3355.5
n÷3	2237
n÷3	1677.75
n÷5	1342.2

Exponentiation

n^y

n²	45037521
n³	302246803431
n⁴	2028378297825441
n⁵	1.3612446756707E+19

Nth Root

^y√n

²√n	81.920693356441
³√n	18.862347704012
⁴√n	9.0510051020006
⁵√n	5.8258251730696

Divisors of 6711

1, 3, 2237, 6711

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	-6710	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 6711 can be divided by 4 positive divisors. The sum of these divisors (counting 6711) is 1, the average is 0.25.

Base conversion 6711

Base	System	Value
2	Binary	1101000110111
3	Ternary	100012120
4	Quaternary	1220313
5	Quinary	203321
6	Senary	51023
8	Octal	15067
10	Decimal	6711
12	Duodecimal	3a73
16	Hexadecimal	1a37
20	Vigesimal	gfb
36	Base36	56f

Cryptographic Hash Functions

md5	50982fb2f2cfa186d335310461dfa2be
sha1	bb113130b1f1b8c117c26ee09fb7ea3e5bb43d12
sha256	8d0f7d0d1cca71a42405226f2bb3a251aff5b182ffe9df4bba954ac2006b2ef4
sha512	1bc0840e332ca6f2ffab9685b7b09f7d451981670e32cb13e99742f831f0c184c8495a63fc4f9ebc26c6ab1f3d5d1b1b382340fac6f6fab06e3423886eaad5df
ripemd-160	c0c57455fce5f80192a9c7ac06f6289a820143e8

6711 as geometric shapes

Circle

Radius = n

Diameter	13422
Circumference	42166.456596482
Area	141489545.1095

Sphere

Radius = n

Volume	1266048449639.8
Surface area	565958180.43798
Circumference	42166.456596482

Square

Length = n

Perimeter	26844
Area	45037521
Diagonal	9490.7872170858

Cube

Length = n

Surface area	270225126
Volume	302246803431
Space diagonal	11623.792969595

Equilateral Triangle

Length = n

Perimeter	20133
Area	19501818.654738
Altitude	5811.8964847974

Triangular Pyramid

Length = n

Surface area	19501818.654738
Volume	35620127383.003
Height	3163.5957390286