The number 39901
39901 is the 4196th prime number. Its only divisors are 1 and 39901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39901: the 4196th prime number.
- 2
39901 is prime, so its only factors are 1 and 39901. It is the 4196th prime; the next prime is 39929 and the one before is 39887.
- 3
The divisors add up to 39902; without 39901 itself that is 1, so 39901 is deficient (1 is less than 39901). Euler's totient φ(39901) = 39900 numbers up to 39901 share no factor with it.
- 4
The digits of 39901 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 168 steps to reach 1.
39901 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39902 |
| Euler totient φ(n) | 39900 |
| Square | 1592089801 |
| Cube | 63525975149701 |
| Square root | 199.752347 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.9901 × |
39901 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and one |
| Binary (base 2) | 1001101111011101 |
| Octal (base 8) | 115735 |
| Hexadecimal (base 16) | 9BDD |
| Base 3 | 2000201211 |
| As time | 39901 seconds = 11 h 5 min 1 s |
Is 39901 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 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 1) | 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 4) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39901 a prime number?
Yes. 39901 is divisible only by 1 and itself.
What are the factors of 39901?
1, 39901.
What is 39901 in binary?
1001101111011101 (hexadecimal 9BDD, octal 115735).
What is the square root of 39901?
About 199.7523.
Is 39901 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 39901?
39901 is the 4196th prime number.