The number 27827
27827 is the 3040th prime number. Its only divisors are 1 and 27827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27827: the 3040th prime number.
- 2
27827 is prime, so its only factors are 1 and 27827. It is the 3040th prime; the next prime is 27847 and the one before is 27823.
- 3
The divisors add up to 27828; without 27827 itself that is 1, so 27827 is deficient (1 is less than 27827). Euler's totient φ(27827) = 27826 numbers up to 27827 share no factor with it.
- 4
The digits of 27827 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27827 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27828 |
| Euler totient φ(n) | 27826 |
| Square | 774341929 |
| Cube | 21547612858283 |
| Square root | 166.814268 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7827 × |
27827 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand eight hundred and twenty-seven |
| Binary (base 2) | 110110010110011 |
| Octal (base 8) | 66263 |
| Hexadecimal (base 16) | 6CB3 |
| Base 3 | 1102011122 |
| As time | 27827 seconds = 7 h 43 min 47 s |
Is 27827 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 2) | 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 5) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27827 a prime number?
Yes. 27827 is divisible only by 1 and itself.
What are the factors of 27827?
1, 27827.
What is 27827 in binary?
110110010110011 (hexadecimal 6CB3, octal 66263).
What is the square root of 27827?
About 166.8143.
Is 27827 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27827?
27827 is the 3040th prime number.