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The number 6811

6811 is a composite number with 6 divisors. Its prime factorisation is 727^{2} Ɨ 139. Divisors (6): 1, 7, 49, 139, 973, 6811.

Number

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How to work it out

  1. 1

    6811 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    6811 is composite. Its prime factorisation is

    6811=72Ɨ1396811 = 7^{2} \times 139
  3. 3

    The divisors add up to 7980; without 6811 itself that is 1169, so 6811 is deficient (1169 is less than 6811). Euler's totient φ(6811) = 5796 numbers up to 6811 share no factor with it.

  4. 4

    The digits of 6811 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.

LaTeX source of the formulas on this page
\[ 6811 = 7^{2} \times 139 \]

6811 at a glance

PropertyValue
Typecomposite
Number of divisors6
Sum of divisors7980
Euler totient φ(n)5796
Square46389721
Cube315960389731
Square root82.528783 (= 7√139)
Digit sum / digital root16 / 7
Collatz steps to 193
Scientific notation6.811 Ɨ 10310^{3}

6811 in other forms

FormValue
In wordssix thousand eight hundred and eleven
Binary (base 2)1101010011011
Octal (base 8)15233
Hexadecimal (base 16)1A9B
Base 3100100021
As time6811 seconds = 1 h 53 min 31 s

Is 6811 divisible by 2 to 12?

DivisorAnswerRule
2No (remainder 1)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4No (remainder 3)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 1)A number is divisible by 6 if it is divisible by both 2 and 3.
7Yes (6811 Ć· 7 = 973)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 3)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 7)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 1)A number is divisible by 10 if the last digit is 0.
11No (remainder 2)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 7)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 6811 a prime number?

No. 6811 = 727^{2} Ɨ 139, so it is divisible by 7.

What are the factors of 6811?

1, 7, 49, 139, 973, 6811.

What is 6811 in binary?

1101010011011 (hexadecimal 1A9B, octal 15233).

What is the square root of 6811?

About 82.5288, exactly 7√139.

Is 6811 divisible by 3?

No. Its digits add up to 16, which is not a multiple of 3.

What is special about the number 6811?

It is a composite number with 6 divisors.

All about 6811

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