The number 38501
38501 is the 4059th prime number. Its only divisors are 1 and 38501.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38501: the 4059th prime number.
- 2
38501 is prime, so its only factors are 1 and 38501. It is the 4059th prime; the next prime is 38543 and the one before is 38461.
- 3
The divisors add up to 38502; without 38501 itself that is 1, so 38501 is deficient (1 is less than 38501). Euler's totient φ(38501) = 38500 numbers up to 38501 share no factor with it.
- 4
The digits of 38501 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 49 steps to reach 1.
38501 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38502 |
| Euler totient φ(n) | 38500 |
| Square | 1482327001 |
| Cube | 57071071865501 |
| Square root | 196.216717 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.8501 × |
38501 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and one |
| Binary (base 2) | 1001011001100101 |
| Octal (base 8) | 113145 |
| Hexadecimal (base 16) | 9665 |
| Base 3 | 1221210222 |
| As time | 38501 seconds = 10 h 41 min 41 s |
Is 38501 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 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 38501 a prime number?
Yes. 38501 is divisible only by 1 and itself.
What are the factors of 38501?
1, 38501.
What is 38501 in binary?
1001011001100101 (hexadecimal 9665, octal 113145).
What is the square root of 38501?
About 196.2167.
Is 38501 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 38501?
38501 is the 4059th prime number.