The number 6750
6750 is a composite number with 32 divisors. Its prime factorisation is 2 × × . Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75 … 6750.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6750: a Harshad number: divisible by its digit sum 18.
- 2
6750 is composite. Its prime factorisation is
- 3
The divisors add up to 18720; without 6750 itself that is 11970, so 6750 is abundant (11970 is more than 6750). Euler's totient φ(6750) = 1800 numbers up to 6750 share no factor with it.
- 4
The digits of 6750 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 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6750 = 2 \times 3^{3} \times 5^{3} \]6750 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 18720 |
| Euler totient φ(n) | 1800 |
| Square | 45562500 |
| Cube | 307546875000 |
| Square root | 82.158384 (= 15√30) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 137 |
| Scientific notation | 6.75 × |
6750 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and fifty |
| Binary (base 2) | 1101001011110 |
| Octal (base 8) | 15136 |
| Hexadecimal (base 16) | 1A5E |
| Base 3 | 100021000 |
| As time | 6750 seconds = 1 h 52 min 30 s |
Is 6750 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6750 ÷ 2 = 3375) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6750 ÷ 3 = 2250) | 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 | Yes (6750 ÷ 5 = 1350) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6750 ÷ 6 = 1125) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6750 ÷ 9 = 750) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6750 ÷ 10 = 675) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6750 a prime number?
No. 6750 = 2 × × , so it is divisible by 2.
What are the factors of 6750?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 125, 135, 150, 225, 250, 270, 375, 450, 675, 750, 1125, 1350, 2250, 3375, 6750.
What is 6750 in binary?
1101001011110 (hexadecimal 1A5E, octal 15136).
What is the square root of 6750?
About 82.1584, exactly 15√30.
Is 6750 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 6750?
6750 is a Harshad number: divisible by its digit sum 18.