The number 38201
38201 is the 4033rd prime number. Its only divisors are 1 and 38201.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38201: the 4033rd prime number.
- 2
38201 is prime, so its only factors are 1 and 38201. It is the 4033rd prime; the next prime is 38219 and the one before is 38197.
- 3
The divisors add up to 38202; without 38201 itself that is 1, so 38201 is deficient (1 is less than 38201). Euler's totient φ(38201) = 38200 numbers up to 38201 share no factor with it.
- 4
The digits of 38201 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 93 steps to reach 1.
38201 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38202 |
| Euler totient φ(n) | 38200 |
| Square | 1459316401 |
| Cube | 55747345834601 |
| Square root | 195.450761 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 93 |
| Scientific notation | 3.8201 × |
38201 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand two hundred and one |
| Binary (base 2) | 1001010100111001 |
| Octal (base 8) | 112471 |
| Hexadecimal (base 16) | 9539 |
| Base 3 | 1221101212 |
| As time | 38201 seconds = 10 h 36 min 41 s |
Is 38201 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 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 5) | 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 9) | 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 38201 a prime number?
Yes. 38201 is divisible only by 1 and itself.
What are the factors of 38201?
1, 38201.
What is 38201 in binary?
1001010100111001 (hexadecimal 9539, octal 112471).
What is the square root of 38201?
About 195.4508.
Is 38201 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 38201?
38201 is the 4033rd prime number.