The number 2273
2273 is the 338th prime number. Its only divisors are 1 and 2273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2273: the 338th prime number.
- 2
2273 is prime, so its only factors are 1 and 2273. It is the 338th prime; the next prime is 2281 and the one before is 2269.
- 3
The divisors add up to 2274; without 2273 itself that is 1, so 2273 is deficient (1 is less than 2273). Euler's totient φ(2273) = 2272 numbers up to 2273 share no factor with it.
- 4
The digits of 2273 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
2273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 2274 |
| Euler totient φ(n) | 2272 |
| Square | 5166529 |
| Cube | 11743520417 |
| Square root | 47.675990 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 2.273 × |
2273 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and seventy-three |
| Roman numerals | MMCCLXXIII |
| Binary (base 2) | 100011100001 |
| Octal (base 8) | 4341 |
| Hexadecimal (base 16) | 8E1 |
| Base 3 | 10010012 |
| As time | 2273 seconds = 37 min 53 s |
Is 2273 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2273 a prime number?
Yes. 2273 is divisible only by 1 and itself.
What are the factors of 2273?
1, 2273.
What is 2273 in binary?
100011100001 (hexadecimal 8E1, octal 4341).
What is the square root of 2273?
About 47.6760.
What is 2273 in Roman numerals?
MMCCLXXIII.
Is 2273 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2273?
2273 is the 338th prime number.