The number 6771
6771 is a composite number with 8 divisors. Its prime factorisation is 3 × 37 × 61. Divisors (8): 1, 3, 37, 61, 111, 183, 2257, 6771.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6771 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6771 is composite. Its prime factorisation is
- 3
The divisors add up to 9424; without 6771 itself that is 2653, so 6771 is deficient (2653 is less than 6771). Euler's totient φ(6771) = 4320 numbers up to 6771 share no factor with it.
- 4
The digits of 6771 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6771 = 3 \times 37 \times 61 \]
6771 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9424 |
| Euler totient φ(n) | 4320 |
| Square | 45846441 |
| Cube | 310426252011 |
| Square root | 82.286086 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.771 × |
6771 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and seventy-one |
| Binary (base 2) | 1101001110011 |
| Octal (base 8) | 15163 |
| Hexadecimal (base 16) | 1A73 |
| Base 3 | 100021210 |
| As time | 6771 seconds = 1 h 52 min 51 s |
Is 6771 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6771 ÷ 3 = 2257) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6771 a prime number?
No. 6771 = 3 × 37 × 61, so it is divisible by 3.
What are the factors of 6771?
1, 3, 37, 61, 111, 183, 2257, 6771.
What is 6771 in binary?
1101001110011 (hexadecimal 1A73, octal 15163).
What is the square root of 6771?
About 82.2861.
Is 6771 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6771?
It is a composite number with 8 divisors.