The number 33827
33827 is a twin prime (33827 and 33829 are both prime) and the 3623rd prime number. Its only divisors are 1 and 33827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33827: a twin prime (33827 and 33829 are both prime); the 3623rd prime number.
- 2
33827 is prime, so its only factors are 1 and 33827. It is the 3623rd prime; the next prime is 33829 and the one before is 33811.
- 3
The divisors add up to 33828; without 33827 itself that is 1, so 33827 is deficient (1 is less than 33827). Euler's totient φ(33827) = 33826 numbers up to 33827 share no factor with it.
- 4
The digits of 33827 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 85 steps to reach 1.
33827 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33828 |
| Euler totient φ(n) | 33826 |
| Square | 1144265929 |
| Cube | 38707083580283 |
| Square root | 183.921179 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3827 × |
33827 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty-seven |
| Binary (base 2) | 1000010000100011 |
| Octal (base 8) | 102043 |
| Hexadecimal (base 16) | 8423 |
| Base 3 | 1201101212 |
| As time | 33827 seconds = 9 h 23 min 47 s |
Is 33827 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 3) | 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 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 3) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33827 a prime number?
Yes. 33827 is divisible only by 1 and itself.
What are the factors of 33827?
1, 33827.
What is 33827 in binary?
1000010000100011 (hexadecimal 8423, octal 102043).
What is the square root of 33827?
About 183.9212.
Is 33827 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 33827?
33827 is a twin prime (33827 and 33829 are both prime); the 3623rd prime number.