The number 6740
6740 is a composite number with 12 divisors. Its prime factorisation is × 5 × 337. Divisors (12): 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6740 is composite. Its prime factorisation is
- 3
The divisors add up to 14196; without 6740 itself that is 7456, so 6740 is abundant (7456 is more than 6740). Euler's totient φ(6740) = 2688 numbers up to 6740 share no factor with it.
- 4
The digits of 6740 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6740 = 2^{2} \times 5 \times 337 \]6740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 14196 |
| Euler totient φ(n) | 2688 |
| Square | 45427600 |
| Cube | 306182024000 |
| Square root | 82.097503 (= 2√1685) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.74 × |
6740 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty |
| Binary (base 2) | 1101001010100 |
| Octal (base 8) | 15124 |
| Hexadecimal (base 16) | 1A54 |
| Base 3 | 100020122 |
| As time | 6740 seconds = 1 h 52 min 20 s |
Is 6740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6740 ÷ 2 = 3370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6740 ÷ 4 = 1685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6740 ÷ 5 = 1348) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6740 ÷ 10 = 674) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6740 a prime number?
No. 6740 = × 5 × 337, so it is divisible by 2.
What are the factors of 6740?
1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740.
What is 6740 in binary?
1101001010100 (hexadecimal 1A54, octal 15124).
What is the square root of 6740?
About 82.0975, exactly 2√1685.
Is 6740 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 6740?
It is a composite number with 12 divisors.