The number 32833
32833 is a twin prime (32831 and 32833 are both prime) and the 3521st prime number. Its only divisors are 1 and 32833.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 32833: a twin prime (32831 and 32833 are both prime); the 3521st prime number.
- 2
32833 is prime, so its only factors are 1 and 32833. It is the 3521st prime; the next prime is 32839 and the one before is 32831.
- 3
The divisors add up to 32834; without 32833 itself that is 1, so 32833 is deficient (1 is less than 32833). Euler's totient φ(32833) = 32832 numbers up to 32833 share no factor with it.
- 4
The digits of 32833 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
32833 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 32834 |
| Euler totient φ(n) | 32832 |
| Square | 1078005889 |
| Cube | 35394167353537 |
| Square root | 181.198786 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.2833 × |
32833 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand eight hundred and thirty-three |
| Binary (base 2) | 1000000001000001 |
| Octal (base 8) | 100101 |
| Hexadecimal (base 16) | 8041 |
| Base 3 | 1200001001 |
| As time | 32833 seconds = 9 h 7 min 13 s |
Is 32833 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 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 32833 a prime number?
Yes. 32833 is divisible only by 1 and itself.
What are the factors of 32833?
1, 32833.
What is 32833 in binary?
1000000001000001 (hexadecimal 8041, octal 100101).
What is the square root of 32833?
About 181.1988.
Is 32833 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 32833?
32833 is a twin prime (32831 and 32833 are both prime); the 3521st prime number.