The number 6760
6760 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260 … 6760.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6760 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6760 is composite. Its prime factorisation is
- 3
The divisors add up to 16470; without 6760 itself that is 9710, so 6760 is abundant (9710 is more than 6760). Euler's totient φ(6760) = 2496 numbers up to 6760 share no factor with it.
- 4
The digits of 6760 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6760 = 2^{3} \times 5 \times 13^{2} \]6760 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 16470 |
| Euler totient φ(n) | 2496 |
| Square | 45697600 |
| Cube | 308915776000 |
| Square root | 82.219219 (= 26√10) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 6.76 × |
6760 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty |
| Binary (base 2) | 1101001101000 |
| Octal (base 8) | 15150 |
| Hexadecimal (base 16) | 1A68 |
| Base 3 | 100021101 |
| As time | 6760 seconds = 1 h 52 min 40 s |
Is 6760 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6760 ÷ 2 = 3380) | 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 | Yes (6760 ÷ 4 = 1690) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (6760 ÷ 5 = 1352) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (6760 ÷ 8 = 845) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (6760 ÷ 10 = 676) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6760 a prime number?
No. 6760 = × 5 × , so it is divisible by 2.
What are the factors of 6760?
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 169, 260, 338, 520, 676, 845, 1352, 1690, 3380, 6760.
What is 6760 in binary?
1101001101000 (hexadecimal 1A68, octal 15150).
What is the square root of 6760?
About 82.2192, exactly 26√10.
Is 6760 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 6760?
It is a composite number with 24 divisors.