The number 2243
2243 is the 334th prime number. Its only divisors are 1 and 2243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2243: the 334th prime number.
- 2
2243 is prime, so its only factors are 1 and 2243. It is the 334th prime; the next prime is 2251 and the one before is 2239.
- 3
The divisors add up to 2244; without 2243 itself that is 1, so 2243 is deficient (1 is less than 2243). Euler's totient φ(2243) = 2242 numbers up to 2243 share no factor with it.
- 4
The digits of 2243 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 45 steps to reach 1.
2243 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2244 |
| Euler totient φ(n) | 2242 |
| Square | 5031049 |
| Cube | 11284642907 |
| Square root | 47.360321 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 2.243 × |
2243 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and forty-three |
| Roman numerals | MMCCXLIII |
| Binary (base 2) | 100011000011 |
| Octal (base 8) | 4303 |
| Hexadecimal (base 16) | 8C3 |
| Base 3 | 10002002 |
| As time | 2243 seconds = 37 min 23 s |
Is 2243 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 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 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 2243 a prime number?
Yes. 2243 is divisible only by 1 and itself.
What are the factors of 2243?
1, 2243.
What is 2243 in binary?
100011000011 (hexadecimal 8C3, octal 4303).
What is the square root of 2243?
About 47.3603.
What is 2243 in Roman numerals?
MMCCXLIII.
Is 2243 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2243?
2243 is the 334th prime number.