The number 32189
32189 is a twin prime (32189 and 32191 are both prime) and the 3453rd prime number. Its only divisors are 1 and 32189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32189: a twin prime (32189 and 32191 are both prime); the 3453rd prime number.
- 2
32189 is prime, so its only factors are 1 and 32189. It is the 3453rd prime; the next prime is 32191 and the one before is 32183.
- 3
The divisors add up to 32190; without 32189 itself that is 1, so 32189 is deficient (1 is less than 32189). Euler's totient φ(32189) = 32188 numbers up to 32189 share no factor with it.
- 4
The digits of 32189 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
32189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32190 |
| Euler totient φ(n) | 32188 |
| Square | 1036131721 |
| Cube | 33352043967269 |
| Square root | 179.412932 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 46 |
| Scientific notation | 3.2189 × |
32189 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand one hundred and eighty-nine |
| Binary (base 2) | 111110110111101 |
| Octal (base 8) | 76675 |
| Hexadecimal (base 16) | 7DBD |
| Base 3 | 1122011012 |
| As time | 32189 seconds = 8 h 56 min 29 s |
Is 32189 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 3) | 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 5) | 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 3) | 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 32189 a prime number?
Yes. 32189 is divisible only by 1 and itself.
What are the factors of 32189?
1, 32189.
What is 32189 in binary?
111110110111101 (hexadecimal 7DBD, octal 76675).
What is the square root of 32189?
About 179.4129.
Is 32189 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32189?
32189 is a twin prime (32189 and 32191 are both prime); the 3453rd prime number.