The number 6759
6759 is a composite number with 6 divisors. Its prime factorisation is × 751. Divisors (6): 1, 3, 9, 751, 2253, 6759.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6759 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6759 is composite. Its prime factorisation is
- 3
The divisors add up to 9776; without 6759 itself that is 3017, so 6759 is deficient (3017 is less than 6759). Euler's totient φ(6759) = 4500 numbers up to 6759 share no factor with it.
- 4
The digits of 6759 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6759 = 3^{2} \times 751 \]6759 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 9776 |
| Euler totient φ(n) | 4500 |
| Square | 45684081 |
| Cube | 308778703479 |
| Square root | 82.213138 (= 3√751) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 62 |
| Scientific notation | 6.759 × |
6759 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and fifty-nine |
| Binary (base 2) | 1101001100111 |
| Octal (base 8) | 15147 |
| Hexadecimal (base 16) | 1A67 |
| Base 3 | 100021100 |
| As time | 6759 seconds = 1 h 52 min 39 s |
Is 6759 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 (6759 ÷ 3 = 2253) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6759 ÷ 9 = 751) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6759 a prime number?
No. 6759 = × 751, so it is divisible by 3.
What are the factors of 6759?
1, 3, 9, 751, 2253, 6759.
What is 6759 in binary?
1101001100111 (hexadecimal 1A67, octal 15147).
What is the square root of 6759?
About 82.2131, exactly 3√751.
Is 6759 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6759?
It is a composite number with 6 divisors.