The number 8273
8273 is the 1038th prime number. Its only divisors are 1 and 8273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8273: the 1038th prime number.
- 2
8273 is prime, so its only factors are 1 and 8273. It is the 1038th prime; the next prime is 8287 and the one before is 8269.
- 3
The divisors add up to 8274; without 8273 itself that is 1, so 8273 is deficient (1 is less than 8273). Euler's totient φ(8273) = 8272 numbers up to 8273 share no factor with it.
- 4
The digits of 8273 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
8273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 8274 |
| Euler totient φ(n) | 8272 |
| Square | 68442529 |
| Cube | 566225042417 |
| Square root | 90.956033 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 8.273 × |
8273 in other forms
| Form | Value |
|---|---|
| In words | eight thousand two hundred and seventy-three |
| Binary (base 2) | 10000001010001 |
| Octal (base 8) | 20121 |
| Hexadecimal (base 16) | 2051 |
| Base 3 | 102100102 |
| As time | 8273 seconds = 2 h 17 min 53 s |
Is 8273 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 6) | 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 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 1) | 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 8273 a prime number?
Yes. 8273 is divisible only by 1 and itself.
What are the factors of 8273?
1, 8273.
What is 8273 in binary?
10000001010001 (hexadecimal 2051, octal 20121).
What is the square root of 8273?
About 90.9560.
Is 8273 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 8273?
8273 is the 1038th prime number.