The number 6744
6744 is a composite number with 16 divisors. Its prime factorisation is × 3 × 281. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744.
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How to work it out
- 1
6744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6744 is composite. Its prime factorisation is
- 3
The divisors add up to 16920; without 6744 itself that is 10176, so 6744 is abundant (10176 is more than 6744). Euler's totient φ(6744) = 2240 numbers up to 6744 share no factor with it.
- 4
The digits of 6744 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6744 = 2^{3} \times 3 \times 281 \]6744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16920 |
| Euler totient φ(n) | 2240 |
| Square | 45481536 |
| Cube | 306727478784 |
| Square root | 82.121861 (= 2√1686) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.744 × |
6744 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty-four |
| Binary (base 2) | 1101001011000 |
| Octal (base 8) | 15130 |
| Hexadecimal (base 16) | 1A58 |
| Base 3 | 100020210 |
| As time | 6744 seconds = 1 h 52 min 24 s |
Is 6744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6744 ÷ 2 = 3372) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6744 ÷ 3 = 2248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6744 ÷ 4 = 1686) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6744 ÷ 6 = 1124) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (6744 ÷ 8 = 843) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (6744 ÷ 12 = 562) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6744 a prime number?
No. 6744 = × 3 × 281, so it is divisible by 2.
What are the factors of 6744?
1, 2, 3, 4, 6, 8, 12, 24, 281, 562, 843, 1124, 1686, 2248, 3372, 6744.
What is 6744 in binary?
1101001011000 (hexadecimal 1A58, octal 15130).
What is the square root of 6744?
About 82.1219, exactly 2√1686.
Is 6744 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 6744?
It is a composite number with 16 divisors.