The number 6789
6789 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 73. Divisors (8): 1, 3, 31, 73, 93, 219, 2263, 6789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 6789: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
6789 is composite. Its prime factorisation is
- 3
The divisors add up to 9472; without 6789 itself that is 2683, so 6789 is deficient (2683 is less than 6789). Euler's totient φ(6789) = 4320 numbers up to 6789 share no factor with it.
- 4
The digits of 6789 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 36 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6789 = 3 \times 31 \times 73 \]
6789 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 9472 |
| Euler totient φ(n) | 4320 |
| Square | 46090521 |
| Cube | 312908547069 |
| Square root | 82.395388 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 36 |
| Scientific notation | 6.789 × |
6789 in other forms
| Form | Value |
|---|---|
| In words | six thousand seven hundred and eighty-nine |
| Binary (base 2) | 1101010000101 |
| Octal (base 8) | 15205 |
| Hexadecimal (base 16) | 1A85 |
| Base 3 | 100022110 |
| As time | 6789 seconds = 1 h 53 min 9 s |
Is 6789 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 (6789 ÷ 3 = 2263) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 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 | No (remainder 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 6789 a prime number?
No. 6789 = 3 × 31 × 73, so it is divisible by 3.
What are the factors of 6789?
1, 3, 31, 73, 93, 219, 2263, 6789.
What is 6789 in binary?
1101010000101 (hexadecimal 1A85, octal 15205).
What is the square root of 6789?
About 82.3954.
Is 6789 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 6789?
6789 is a happy number: repeatedly adding the squares of its digits reaches 1.