The number 6727
6727 is a composite number with 6 divisors. Its prime factorisation is 7 Ć . Divisors (6): 1, 7, 31, 217, 961, 6727.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6727 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6727 is composite. Its prime factorisation is
- 3
The divisors add up to 7944; without 6727 itself that is 1217, so 6727 is deficient (1217 is less than 6727). Euler's totient Ļ(6727) = 5580 numbers up to 6727 share no factor with it.
- 4
The digits of 6727 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6727 = 7 \times 31^{2} \]6727 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 7944 |
| Euler totient Ļ(n) | 5580 |
| Square | 45252529 |
| Cube | 304413762583 |
| Square root | 82.018291 (= 31ā7) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 49 |
| Scientific notation | 6.727 Ć |
6727 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and twenty-seven |
| Binary (base 2) | 1101001000111 |
| Octal (base 8) | 15107 |
| Hexadecimal (base 16) | 1A47 |
| Base 3 | 100020011 |
| As time | 6727 seconds = 1 h 52 min 7 s |
Is 6727 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 | No (remainder 1) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (6727 Ć· 7 = 961) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6727 a prime number?
No. 6727 = 7 Ć , so it is divisible by 7.
What are the factors of 6727?
1, 7, 31, 217, 961, 6727.
What is 6727 in binary?
1101001000111 (hexadecimal 1A47, octal 15107).
What is the square root of 6727?
About 82.0183, exactly 31ā7.
Is 6727 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6727?
It is a composite number with 6 divisors.