The number 33797
33797 is the 3620th prime number. Its only divisors are 1 and 33797.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33797: the 3620th prime number.
- 2
33797 is prime, so its only factors are 1 and 33797. It is the 3620th prime; the next prime is 33809 and the one before is 33791.
- 3
The divisors add up to 33798; without 33797 itself that is 1, so 33797 is deficient (1 is less than 33797). Euler's totient φ(33797) = 33796 numbers up to 33797 share no factor with it.
- 4
The digits of 33797 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 59 steps to reach 1.
33797 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33798 |
| Euler totient φ(n) | 33796 |
| Square | 1142237209 |
| Cube | 38604190952573 |
| Square root | 183.839604 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3797 × |
33797 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and ninety-seven |
| Binary (base 2) | 1000010000000101 |
| Octal (base 8) | 102005 |
| Hexadecimal (base 16) | 8405 |
| Base 3 | 1201100202 |
| As time | 33797 seconds = 9 h 23 min 17 s |
Is 33797 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 2) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 33797 a prime number?
Yes. 33797 is divisible only by 1 and itself.
What are the factors of 33797?
1, 33797.
What is 33797 in binary?
1000010000000101 (hexadecimal 8405, octal 102005).
What is the square root of 33797?
About 183.8396.
Is 33797 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 33797?
33797 is the 3620th prime number.