The number 6788
6788 is a composite number with 6 divisors. Its prime factorisation is × 1697. Divisors (6): 1, 2, 4, 1697, 3394, 6788.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6788 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6788 is composite. Its prime factorisation is
- 3
The divisors add up to 11886; without 6788 itself that is 5098, so 6788 is deficient (5098 is less than 6788). Euler's totient φ(6788) = 3392 numbers up to 6788 share no factor with it.
- 4
The digits of 6788 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6788 = 2^{2} \times 1697 \]6788 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 11886 |
| Euler totient φ(n) | 3392 |
| Square | 46076944 |
| Cube | 312770295872 |
| Square root | 82.389320 (= 2√1697) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.788 × |
6788 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty-eight |
| Binary (base 2) | 1101010000100 |
| Octal (base 8) | 15204 |
| Hexadecimal (base 16) | 1A84 |
| Base 3 | 100022102 |
| As time | 6788 seconds = 1 h 53 min 8 s |
Is 6788 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6788 ÷ 2 = 3394) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (6788 ÷ 4 = 1697) | 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 | No (remainder 2) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6788 a prime number?
No. 6788 = × 1697, so it is divisible by 2.
What are the factors of 6788?
1, 2, 4, 1697, 3394, 6788.
What is 6788 in binary?
1101010000100 (hexadecimal 1A84, octal 15204).
What is the square root of 6788?
About 82.3893, exactly 2√1697.
Is 6788 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 6788?
It is a composite number with 6 divisors.