The number 38237
38237 is a twin prime (38237 and 38239 are both prime) and the 4036th prime number. Its only divisors are 1 and 38237.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38237: a twin prime (38237 and 38239 are both prime); the 4036th prime number.
- 2
38237 is prime, so its only factors are 1 and 38237. It is the 4036th prime; the next prime is 38239 and the one before is 38231.
- 3
The divisors add up to 38238; without 38237 itself that is 1, so 38237 is deficient (1 is less than 38237). Euler's totient φ(38237) = 38236 numbers up to 38237 share no factor with it.
- 4
The digits of 38237 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 80 steps to reach 1.
38237 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38238 |
| Euler totient φ(n) | 38236 |
| Square | 1462068169 |
| Cube | 55905100578053 |
| Square root | 195.542834 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8237 × |
38237 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and thirty-seven |
| Binary (base 2) | 1001010101011101 |
| Octal (base 8) | 112535 |
| Hexadecimal (base 16) | 955D |
| Base 3 | 1221110012 |
| As time | 38237 seconds = 10 h 37 min 17 s |
Is 38237 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 2) | 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 3) | 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 5) | 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 7) | 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 38237 a prime number?
Yes. 38237 is divisible only by 1 and itself.
What are the factors of 38237?
1, 38237.
What is 38237 in binary?
1001010101011101 (hexadecimal 955D, octal 112535).
What is the square root of 38237?
About 195.5428.
Is 38237 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 38237?
38237 is a twin prime (38237 and 38239 are both prime); the 4036th prime number.