The number 33427
33427 is the 3580th prime number. Its only divisors are 1 and 33427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33427: the 3580th prime number.
- 2
33427 is prime, so its only factors are 1 and 33427. It is the 3580th prime; the next prime is 33457 and the one before is 33413.
- 3
The divisors add up to 33428; without 33427 itself that is 1, so 33427 is deficient (1 is less than 33427). Euler's totient φ(33427) = 33426 numbers up to 33427 share no factor with it.
- 4
The digits of 33427 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 67 steps to reach 1.
33427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 33428 |
| Euler totient φ(n) | 33426 |
| Square | 1117364329 |
| Cube | 37350137425483 |
| Square root | 182.830523 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3427 × |
33427 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty-seven |
| Binary (base 2) | 1000001010010011 |
| Octal (base 8) | 101223 |
| Hexadecimal (base 16) | 8293 |
| Base 3 | 1200212001 |
| As time | 33427 seconds = 9 h 17 min 7 s |
Is 33427 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33427 a prime number?
Yes. 33427 is divisible only by 1 and itself.
What are the factors of 33427?
1, 33427.
What is 33427 in binary?
1000001010010011 (hexadecimal 8293, octal 101223).
What is the square root of 33427?
About 182.8305.
Is 33427 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 33427?
33427 is the 3580th prime number.