The number 227
227 is a twin prime (227 and 229 are both prime) and the 49th prime number. Its only divisors are 1 and 227.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 227: a twin prime (227 and 229 are both prime); the 49th prime number.
- 2
227 is prime, so its only factors are 1 and 227. It is the 49th prime; the next prime is 229 and the one before is 223.
- 3
The divisors add up to 228; without 227 itself that is 1, so 227 is deficient (1 is less than 227). Euler's totient φ(227) = 226 numbers up to 227 share no factor with it.
- 4
The digits of 227 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 13 steps to reach 1.
227 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 228 |
| Euler totient φ(n) | 226 |
| Square | 51529 |
| Cube | 11697083 |
| Square root | 15.066519 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 13 |
| Scientific notation | 2.27 × |
227 in other forms
| Form | Value |
|---|---|
| In words | two hundred and twenty-seven |
| Roman numerals | CCXXVII |
| Binary (base 2) | 11100011 |
| Octal (base 8) | 343 |
| Hexadecimal (base 16) | E3 |
| Base 3 | 22102 |
| As time | 227 seconds = 3 min 47 s |
Is 227 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 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 3) | 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 7) | 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 227 a prime number?
Yes. 227 is divisible only by 1 and itself.
What are the factors of 227?
1, 227.
What is 227 in binary?
11100011 (hexadecimal E3, octal 343).
What is the square root of 227?
About 15.0665.
What is 227 in Roman numerals?
CCXXVII.
Is 227 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 227?
227 is a twin prime (227 and 229 are both prime); the 49th prime number.