The number 4027
4027 is the 557th prime number. Its only divisors are 1 and 4027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4027: the 557th prime number.
- 2
4027 is prime, so its only factors are 1 and 4027. It is the 557th prime; the next prime is 4049 and the one before is 4021.
- 3
The divisors add up to 4028; without 4027 itself that is 1, so 4027 is deficient (1 is less than 4027). Euler's totient φ(4027) = 4026 numbers up to 4027 share no factor with it.
- 4
The digits of 4027 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
4027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4028 |
| Euler totient φ(n) | 4026 |
| Square | 16216729 |
| Cube | 65304767683 |
| Square root | 63.458648 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.027 × |
4027 in other forms
| Form | Value |
|---|---|
| In words | four thousand and twenty-seven |
| Binary (base 2) | 111110111011 |
| Octal (base 8) | 7673 |
| Hexadecimal (base 16) | FBB |
| Base 3 | 12112011 |
| As time | 4027 seconds = 1 h 7 min 7 s |
Is 4027 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 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 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 4027 a prime number?
Yes. 4027 is divisible only by 1 and itself.
What are the factors of 4027?
1, 4027.
What is 4027 in binary?
111110111011 (hexadecimal FBB, octal 7673).
What is the square root of 4027?
About 63.4586.
Is 4027 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4027?
4027 is the 557th prime number.