The number 27767
27767 is the 3030th prime number. Its only divisors are 1 and 27767.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27767: the 3030th prime number.
- 2
27767 is prime, so its only factors are 1 and 27767. It is the 3030th prime; the next prime is 27773 and the one before is 27763.
- 3
The divisors add up to 27768; without 27767 itself that is 1, so 27767 is deficient (1 is less than 27767). Euler's totient φ(27767) = 27766 numbers up to 27767 share no factor with it.
- 4
The digits of 27767 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 152 steps to reach 1.
27767 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27768 |
| Euler totient φ(n) | 27766 |
| Square | 771006289 |
| Cube | 21408531626663 |
| Square root | 166.634330 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 152 |
| Scientific notation | 2.7767 × |
27767 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and sixty-seven |
| Binary (base 2) | 110110001110111 |
| Octal (base 8) | 66167 |
| Hexadecimal (base 16) | 6C77 |
| Base 3 | 1102002102 |
| As time | 27767 seconds = 7 h 42 min 47 s |
Is 27767 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | 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 27767 a prime number?
Yes. 27767 is divisible only by 1 and itself.
What are the factors of 27767?
1, 27767.
What is 27767 in binary?
110110001110111 (hexadecimal 6C77, octal 66167).
What is the square root of 27767?
About 166.6343.
Is 27767 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 27767?
27767 is the 3030th prime number.