The number 38047
38047 is the 4020th prime number. Its only divisors are 1 and 38047.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38047: the 4020th prime number.
- 2
38047 is prime, so its only factors are 1 and 38047. It is the 4020th prime; the next prime is 38053 and the one before is 38039.
- 3
The divisors add up to 38048; without 38047 itself that is 1, so 38047 is deficient (1 is less than 38047). Euler's totient φ(38047) = 38046 numbers up to 38047 share no factor with it.
- 4
The digits of 38047 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
38047 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38048 |
| Euler totient φ(n) | 38046 |
| Square | 1447574209 |
| Cube | 55075855929823 |
| Square root | 195.056402 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8047 × |
38047 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty-seven |
| Binary (base 2) | 1001010010011111 |
| Octal (base 8) | 112237 |
| Hexadecimal (base 16) | 949F |
| Base 3 | 1221012011 |
| As time | 38047 seconds = 10 h 34 min 7 s |
Is 38047 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38047 a prime number?
Yes. 38047 is divisible only by 1 and itself.
What are the factors of 38047?
1, 38047.
What is 38047 in binary?
1001010010011111 (hexadecimal 949F, octal 112237).
What is the square root of 38047?
About 195.0564.
Is 38047 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 38047?
38047 is the 4020th prime number.