The number 38273
38273 is the 4039th prime number. Its only divisors are 1 and 38273.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38273: the 4039th prime number.
- 2
38273 is prime, so its only factors are 1 and 38273. It is the 4039th prime; the next prime is 38281 and the one before is 38261.
- 3
The divisors add up to 38274; without 38273 itself that is 1, so 38273 is deficient (1 is less than 38273). Euler's totient φ(38273) = 38272 numbers up to 38273 share no factor with it.
- 4
The digits of 38273 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 106 steps to reach 1.
38273 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38274 |
| Euler totient φ(n) | 38272 |
| Square | 1464822529 |
| Cube | 56063152652417 |
| Square root | 195.634864 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8273 × |
38273 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and seventy-three |
| Binary (base 2) | 1001010110000001 |
| Octal (base 8) | 112601 |
| Hexadecimal (base 16) | 9581 |
| Base 3 | 1221111112 |
| As time | 38273 seconds = 10 h 37 min 53 s |
Is 38273 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 4) | 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 4) | 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 38273 a prime number?
Yes. 38273 is divisible only by 1 and itself.
What are the factors of 38273?
1, 38273.
What is 38273 in binary?
1001010110000001 (hexadecimal 9581, octal 112601).
What is the square root of 38273?
About 195.6349.
Is 38273 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38273?
38273 is the 4039th prime number.