The number 27427
27427 is the 2997th prime number. Its only divisors are 1 and 27427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27427: the 2997th prime number.
- 2
27427 is prime, so its only factors are 1 and 27427. It is the 2997th prime; the next prime is 27431 and the one before is 27409.
- 3
The divisors add up to 27428; without 27427 itself that is 1, so 27427 is deficient (1 is less than 27427). Euler's totient φ(27427) = 27426 numbers up to 27427 share no factor with it.
- 4
The digits of 27427 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
27427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27428 |
| Euler totient φ(n) | 27426 |
| Square | 752240329 |
| Cube | 20631695503483 |
| Square root | 165.610990 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.7427 × |
27427 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand four hundred and twenty-seven |
| Binary (base 2) | 110101100100011 |
| Octal (base 8) | 65443 |
| Hexadecimal (base 16) | 6B23 |
| Base 3 | 1101121211 |
| As time | 27427 seconds = 7 h 37 min 7 s |
Is 27427 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 4) | 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 27427 a prime number?
Yes. 27427 is divisible only by 1 and itself.
What are the factors of 27427?
1, 27427.
What is 27427 in binary?
110101100100011 (hexadecimal 6B23, octal 65443).
What is the square root of 27427?
About 165.6110.
Is 27427 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 27427?
27427 is the 2997th prime number.