The number 6768
6768 is a composite number with 30 divisors. Its prime factorisation is × × 47. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94 … 6768.
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How to work it out
- 1
6768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6768 is composite. Its prime factorisation is
- 3
The divisors add up to 19344; without 6768 itself that is 12576, so 6768 is abundant (12576 is more than 6768). Euler's totient φ(6768) = 2208 numbers up to 6768 share no factor with it.
- 4
The digits of 6768 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 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6768 = 2^{4} \times 3^{2} \times 47 \]6768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 19344 |
| Euler totient φ(n) | 2208 |
| Square | 45805824 |
| Cube | 310013816832 |
| Square root | 82.267855 (= 12√47) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.768 × |
6768 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and sixty-eight |
| Binary (base 2) | 1101001110000 |
| Octal (base 8) | 15160 |
| Hexadecimal (base 16) | 1A70 |
| Base 3 | 100021200 |
| As time | 6768 seconds = 1 h 52 min 48 s |
Is 6768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6768 ÷ 2 = 3384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (6768 ÷ 3 = 2256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6768 ÷ 4 = 1692) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (6768 ÷ 6 = 1128) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (6768 ÷ 8 = 846) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (6768 ÷ 9 = 752) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (6768 ÷ 12 = 564) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6768 a prime number?
No. 6768 = × × 47, so it is divisible by 2.
What are the factors of 6768?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 47, 48, 72, 94, 141, 144, 188, 282, 376, 423, 564, 752, 846, 1128, 1692, 2256, 3384, 6768.
What is 6768 in binary?
1101001110000 (hexadecimal 1A70, octal 15160).
What is the square root of 6768?
About 82.2679, exactly 12√47.
Is 6768 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 6768?
It is a composite number with 30 divisors.