The number 6745
6745 is a composite number with 8 divisors. Its prime factorisation is 5 × 19 × 71. Divisors (8): 1, 5, 19, 71, 95, 355, 1349, 6745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6745 is composite. Its prime factorisation is
- 3
The divisors add up to 8640; without 6745 itself that is 1895, so 6745 is deficient (1895 is less than 6745). Euler's totient φ(6745) = 5040 numbers up to 6745 share no factor with it.
- 4
The digits of 6745 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6745 = 5 \times 19 \times 71 \]
6745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8640 |
| Euler totient φ(n) | 5040 |
| Square | 45495025 |
| Cube | 306863943625 |
| Square root | 82.127949 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 75 |
| Scientific notation | 6.745 × |
6745 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and forty-five |
| Binary (base 2) | 1101001011001 |
| Octal (base 8) | 15131 |
| Hexadecimal (base 16) | 1A59 |
| Base 3 | 100020211 |
| As time | 6745 seconds = 1 h 52 min 25 s |
Is 6745 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 | No (remainder 1) | 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 | Yes (6745 ÷ 5 = 1349) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6745 a prime number?
No. 6745 = 5 × 19 × 71, so it is divisible by 5.
What are the factors of 6745?
1, 5, 19, 71, 95, 355, 1349, 6745.
What is 6745 in binary?
1101001011001 (hexadecimal 1A59, octal 15131).
What is the square root of 6745?
About 82.1279.
Is 6745 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 6745?
It is a composite number with 8 divisors.