The number 38873
38873 is the 4096th prime number. Its only divisors are 1 and 38873.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38873: the 4096th prime number.
- 2
38873 is prime, so its only factors are 1 and 38873. It is the 4096th prime; the next prime is 38891 and the one before is 38867.
- 3
The divisors add up to 38874; without 38873 itself that is 1, so 38873 is deficient (1 is less than 38873). Euler's totient φ(38873) = 38872 numbers up to 38873 share no factor with it.
- 4
The digits of 38873 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
38873 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38874 |
| Euler totient φ(n) | 38872 |
| Square | 1511110129 |
| Cube | 58741384044617 |
| Square root | 197.162370 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8873 × |
38873 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand eight hundred and seventy-three |
| Binary (base 2) | 1001011111011001 |
| Octal (base 8) | 113731 |
| Hexadecimal (base 16) | 97D9 |
| Base 3 | 1222022202 |
| As time | 38873 seconds = 10 h 47 min 53 s |
Is 38873 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 2) | 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 10) | 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 38873 a prime number?
Yes. 38873 is divisible only by 1 and itself.
What are the factors of 38873?
1, 38873.
What is 38873 in binary?
1001011111011001 (hexadecimal 97D9, octal 113731).
What is the square root of 38873?
About 197.1624.
Is 38873 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38873?
38873 is the 4096th prime number.