The number 6746
6746 is a composite number with 4 divisors. Its prime factorisation is 2 × 3373. Divisors (4): 1, 2, 3373, 6746.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6746: a semiprime: 2 × 3373, the product of two primes.
- 2
6746 is composite. Its prime factorisation is
- 3
The divisors add up to 10122; without 6746 itself that is 3376, so 6746 is deficient (3376 is less than 6746). Euler's totient φ(6746) = 3372 numbers up to 6746 share no factor with it.
- 4
The digits of 6746 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6746 = 2 \times 3373 \]
6746 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10122 |
| Euler totient φ(n) | 3372 |
| Square | 45508516 |
| Cube | 307000448936 |
| Square root | 82.134037 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.746 × |
6746 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty-six |
| Binary (base 2) | 1101001011010 |
| Octal (base 8) | 15132 |
| Hexadecimal (base 16) | 1A5A |
| Base 3 | 100020212 |
| As time | 6746 seconds = 1 h 52 min 26 s |
Is 6746 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6746 ÷ 2 = 3373) | 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 | No (remainder 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6746 a prime number?
No. 6746 = 2 × 3373, so it is divisible by 2.
What are the factors of 6746?
1, 2, 3373, 6746.
What is 6746 in binary?
1101001011010 (hexadecimal 1A5A, octal 15132).
What is the square root of 6746?
About 82.1340.
Is 6746 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 6746?
6746 is a semiprime: 2 × 3373, the product of two primes.