The number 32789
32789 is the 3516th prime number. Its only divisors are 1 and 32789.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32789: the 3516th prime number.
- 2
32789 is prime, so its only factors are 1 and 32789. It is the 3516th prime; the next prime is 32797 and the one before is 32783.
- 3
The divisors add up to 32790; without 32789 itself that is 1, so 32789 is deficient (1 is less than 32789). Euler's totient φ(32789) = 32788 numbers up to 32789 share no factor with it.
- 4
The digits of 32789 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 160 steps to reach 1.
32789 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32790 |
| Euler totient φ(n) | 32788 |
| Square | 1075118521 |
| Cube | 35252061185069 |
| Square root | 181.077332 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.2789 × |
32789 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand seven hundred and eighty-nine |
| Binary (base 2) | 1000000000010101 |
| Octal (base 8) | 100025 |
| Hexadecimal (base 16) | 8015 |
| Base 3 | 1122222102 |
| As time | 32789 seconds = 9 h 6 min 29 s |
Is 32789 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32789 a prime number?
Yes. 32789 is divisible only by 1 and itself.
What are the factors of 32789?
1, 32789.
What is 32789 in binary?
1000000000010101 (hexadecimal 8015, octal 100025).
What is the square root of 32789?
About 181.0773.
Is 32789 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 32789?
32789 is the 3516th prime number.