The number 83273
83273 is the 8132nd prime number. Its only divisors are 1 and 83273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83273: the 8132nd prime number.
- 2
83273 is prime, so its only factors are 1 and 83273. It is the 8132nd prime; the next prime is 83299 and the one before is 83269.
- 3
The divisors add up to 83274; without 83273 itself that is 1, so 83273 is deficient (1 is less than 83273). Euler's totient φ(83273) = 83272 numbers up to 83273 share no factor with it.
- 4
The digits of 83273 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
83273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 83274 |
| Euler totient φ(n) | 83272 |
| Square | 6934392529 |
| Cube | 577447669067417 |
| Square root | 288.570615 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.3273 × |
83273 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand two hundred and seventy-three |
| Binary (base 2) | 10100010101001001 |
| Octal (base 8) | 242511 |
| Hexadecimal (base 16) | 14549 |
| Base 3 | 11020020012 |
| As time | 83273 seconds = 23 h 7 min 53 s |
Is 83273 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 1) | 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 3) | 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 83273 a prime number?
Yes. 83273 is divisible only by 1 and itself.
What are the factors of 83273?
1, 83273.
What is 83273 in binary?
10100010101001001 (hexadecimal 14549, octal 242511).
What is the square root of 83273?
About 288.5706.
Is 83273 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 83273?
83273 is the 8132nd prime number.