The number 4273
4273 is a twin prime (4271 and 4273 are both prime) and the 587th prime number. Its only divisors are 1 and 4273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 4273: a twin prime (4271 and 4273 are both prime); the 587th prime number.
- 2
4273 is prime, so its only factors are 1 and 4273. It is the 587th prime; the next prime is 4283 and the one before is 4271.
- 3
The divisors add up to 4274; without 4273 itself that is 1, so 4273 is deficient (1 is less than 4273). Euler's totient φ(4273) = 4272 numbers up to 4273 share no factor with it.
- 4
The digits of 4273 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
4273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 4274 |
| Euler totient φ(n) | 4272 |
| Square | 18258529 |
| Cube | 78018694417 |
| Square root | 65.368188 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.273 × |
4273 in other forms
| Form | Value |
|---|---|
| In words | four thousand two hundred and seventy-three |
| Binary (base 2) | 1000010110001 |
| Octal (base 8) | 10261 |
| Hexadecimal (base 16) | 10B1 |
| Base 3 | 12212021 |
| As time | 4273 seconds = 1 h 11 min 13 s |
Is 4273 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 7) | 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 5) | 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 4273 a prime number?
Yes. 4273 is divisible only by 1 and itself.
What are the factors of 4273?
1, 4273.
What is 4273 in binary?
1000010110001 (hexadecimal 10B1, octal 10261).
What is the square root of 4273?
About 65.3682.
Is 4273 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 4273?
4273 is a twin prime (4271 and 4273 are both prime); the 587th prime number.