The number 28027
28027 is the 3058th prime number. Its only divisors are 1 and 28027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 28027: the 3058th prime number.
- 2
28027 is prime, so its only factors are 1 and 28027. It is the 3058th prime; the next prime is 28031 and the one before is 28019.
- 3
The divisors add up to 28028; without 28027 itself that is 1, so 28027 is deficient (1 is less than 28027). Euler's totient φ(28027) = 28026 numbers up to 28027 share no factor with it.
- 4
The digits of 28027 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 59 steps to reach 1.
28027 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 28028 |
| Euler totient φ(n) | 28026 |
| Square | 785512729 |
| Cube | 22015565255683 |
| Square root | 167.412664 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 2.8027 × |
28027 in other forms
| Form | Value |
|---|---|
| In words | twenty-eight thousand and twenty-seven |
| Binary (base 2) | 110110101111011 |
| Octal (base 8) | 66573 |
| Hexadecimal (base 16) | 6D7B |
| Base 3 | 1102110001 |
| As time | 28027 seconds = 7 h 47 min 7 s |
Is 28027 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 6) | 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 10) | 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 28027 a prime number?
Yes. 28027 is divisible only by 1 and itself.
What are the factors of 28027?
1, 28027.
What is 28027 in binary?
110110101111011 (hexadecimal 6D7B, octal 66573).
What is the square root of 28027?
About 167.4127.
Is 28027 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 28027?
28027 is the 3058th prime number.