The number 10789
10789 is the 1314th prime number. Its only divisors are 1 and 10789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10789: the 1314th prime number.
- 2
10789 is prime, so its only factors are 1 and 10789. It is the 1314th prime; the next prime is 10799 and the one before is 10781.
- 3
The divisors add up to 10790; without 10789 itself that is 1, so 10789 is deficient (1 is less than 10789). Euler's totient φ(10789) = 10788 numbers up to 10789 share no factor with it.
- 4
The digits of 10789 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
10789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 10790 |
| Euler totient φ(n) | 10788 |
| Square | 116402521 |
| Cube | 1255866799069 |
| Square root | 103.870111 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.0789 × |
10789 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and eighty-nine |
| Binary (base 2) | 10101000100101 |
| Octal (base 8) | 25045 |
| Hexadecimal (base 16) | 2A25 |
| Base 3 | 112210121 |
| As time | 10789 seconds = 2 h 59 min 49 s |
Is 10789 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10789 a prime number?
Yes. 10789 is divisible only by 1 and itself.
What are the factors of 10789?
1, 10789.
What is 10789 in binary?
10101000100101 (hexadecimal 2A25, octal 25045).
What is the square root of 10789?
About 103.8701.
Is 10789 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 10789?
10789 is the 1314th prime number.