The number 6747
6747 is a composite number with 8 divisors. Its prime factorisation is 3 × 13 × 173. Divisors (8): 1, 3, 13, 39, 173, 519, 2249, 6747.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6747 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6747 is composite. Its prime factorisation is
- 3
The divisors add up to 9744; without 6747 itself that is 2997, so 6747 is deficient (2997 is less than 6747). Euler's totient φ(6747) = 4128 numbers up to 6747 share no factor with it.
- 4
The digits of 6747 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 181 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6747 = 3 \times 13 \times 173 \]
6747 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9744 |
| Euler totient φ(n) | 4128 |
| Square | 45522009 |
| Cube | 307136994723 |
| Square root | 82.140124 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 181 |
| Scientific notation | 6.747 × |
6747 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty-seven |
| Binary (base 2) | 1101001011011 |
| Octal (base 8) | 15133 |
| Hexadecimal (base 16) | 1A5B |
| Base 3 | 100020220 |
| As time | 6747 seconds = 1 h 52 min 27 s |
Is 6747 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 (6747 ÷ 3 = 2249) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 4) | 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 6747 a prime number?
No. 6747 = 3 × 13 × 173, so it is divisible by 3.
What are the factors of 6747?
1, 3, 13, 39, 173, 519, 2249, 6747.
What is 6747 in binary?
1101001011011 (hexadecimal 1A5B, octal 15133).
What is the square root of 6747?
About 82.1401.
Is 6747 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 6747?
It is a composite number with 8 divisors.