The number 30427
30427 is the 3286th prime number. Its only divisors are 1 and 30427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 30427: the 3286th prime number.
- 2
30427 is prime, so its only factors are 1 and 30427. It is the 3286th prime; the next prime is 30431 and the one before is 30403.
- 3
The divisors add up to 30428; without 30427 itself that is 1, so 30427 is deficient (1 is less than 30427). Euler's totient φ(30427) = 30426 numbers up to 30427 share no factor with it.
- 4
The digits of 30427 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
30427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 30428 |
| Euler totient φ(n) | 30426 |
| Square | 925802329 |
| Cube | 28169387464483 |
| Square root | 174.433368 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.0427 × |
30427 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand four hundred and twenty-seven |
| Binary (base 2) | 111011011011011 |
| Octal (base 8) | 73333 |
| Hexadecimal (base 16) | 76DB |
| Base 3 | 1112201221 |
| As time | 30427 seconds = 8 h 27 min 7 s |
Is 30427 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 5) | 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 7) | 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 1) | 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 30427 a prime number?
Yes. 30427 is divisible only by 1 and itself.
What are the factors of 30427?
1, 30427.
What is 30427 in binary?
111011011011011 (hexadecimal 76DB, octal 73333).
What is the square root of 30427?
About 174.4334.
Is 30427 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 30427?
30427 is the 3286th prime number.