The number 6741
6741 is a composite number with 12 divisors. Its prime factorisation is × 7 × 107. Divisors (12): 1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6741 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6741 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 6741 itself that is 4491, so 6741 is deficient (4491 is less than 6741). Euler's totient φ(6741) = 3816 numbers up to 6741 share no factor with it.
- 4
The digits of 6741 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6741 = 3^{2} \times 7 \times 107 \]6741 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 3816 |
| Square | 45441081 |
| Cube | 306318327021 |
| Square root | 82.103593 (= 3√749) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.741 × |
6741 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty-one |
| Binary (base 2) | 1101001010101 |
| Octal (base 8) | 15125 |
| Hexadecimal (base 16) | 1A55 |
| Base 3 | 100020200 |
| As time | 6741 seconds = 1 h 52 min 21 s |
Is 6741 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 (6741 ÷ 3 = 2247) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | Yes (6741 ÷ 7 = 963) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6741 ÷ 9 = 749) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6741 a prime number?
No. 6741 = × 7 × 107, so it is divisible by 3.
What are the factors of 6741?
1, 3, 7, 9, 21, 63, 107, 321, 749, 963, 2247, 6741.
What is 6741 in binary?
1101001010101 (hexadecimal 1A55, octal 15125).
What is the square root of 6741?
About 82.1036, exactly 3√749.
Is 6741 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6741?
It is a composite number with 12 divisors.