The number 27793
27793 is a twin prime (27791 and 27793 are both prime) and the 3034th prime number. Its only divisors are 1 and 27793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 27793: a twin prime (27791 and 27793 are both prime); the 3034th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
27793 is prime, so its only factors are 1 and 27793. It is the 3034th prime; the next prime is 27799 and the one before is 27791.
- 3
The divisors add up to 27794; without 27793 itself that is 1, so 27793 is deficient (1 is less than 27793). Euler's totient φ(27793) = 27792 numbers up to 27793 share no factor with it.
- 4
The digits of 27793 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 139 steps to reach 1.
27793 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 27794 |
| Euler totient φ(n) | 27792 |
| Square | 772450849 |
| Cube | 21468726446257 |
| Square root | 166.712327 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 139 |
| Scientific notation | 2.7793 × |
27793 in other forms
| Form | Value |
|---|---|
| In words | twenty-seven thousand seven hundred and ninety-three |
| Binary (base 2) | 110110010010001 |
| Octal (base 8) | 66221 |
| Hexadecimal (base 16) | 6C91 |
| Base 3 | 1102010101 |
| As time | 27793 seconds = 7 h 43 min 13 s |
Is 27793 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 27793 a prime number?
Yes. 27793 is divisible only by 1 and itself.
What are the factors of 27793?
1, 27793.
What is 27793 in binary?
110110010010001 (hexadecimal 6C91, octal 66221).
What is the square root of 27793?
About 166.7123.
Is 27793 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 27793?
27793 is a twin prime (27791 and 27793 are both prime); the 3034th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.