The number 27773
27773 is the 3031st prime number. Its only divisors are 1 and 27773.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27773: the 3031st prime number.
- 2
27773 is prime, so its only factors are 1 and 27773. It is the 3031st prime; the next prime is 27779 and the one before is 27767.
- 3
The divisors add up to 27774; without 27773 itself that is 1, so 27773 is deficient (1 is less than 27773). Euler's totient φ(27773) = 27772 numbers up to 27773 share no factor with it.
- 4
The digits of 27773 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 258 steps to reach 1.
27773 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27774 |
| Euler totient φ(n) | 27772 |
| Square | 771339529 |
| Cube | 21422412738917 |
| Square root | 166.652333 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 258 |
| Scientific notation | 2.7773 × |
27773 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and seventy-three |
| Binary (base 2) | 110110001111101 |
| Octal (base 8) | 66175 |
| Hexadecimal (base 16) | 6C7D |
| Base 3 | 1102002122 |
| As time | 27773 seconds = 7 h 42 min 53 s |
Is 27773 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 4) | 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 5) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27773 a prime number?
Yes. 27773 is divisible only by 1 and itself.
What are the factors of 27773?
1, 27773.
What is 27773 in binary?
110110001111101 (hexadecimal 6C7D, octal 66175).
What is the square root of 27773?
About 166.6523.
Is 27773 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 27773?
27773 is the 3031st prime number.