The number 39937
39937 is the 4198th prime number. Its only divisors are 1 and 39937.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39937: the 4198th prime number.
- 2
39937 is prime, so its only factors are 1 and 39937. It is the 4198th prime; the next prime is 39953 and the one before is 39929.
- 3
The divisors add up to 39938; without 39937 itself that is 1, so 39937 is deficient (1 is less than 39937). Euler's totient φ(39937) = 39936 numbers up to 39937 share no factor with it.
- 4
The digits of 39937 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
39937 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39938 |
| Euler totient φ(n) | 39936 |
| Square | 1594963969 |
| Cube | 63698076029953 |
| Square root | 199.842438 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.9937 × |
39937 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand nine hundred and thirty-seven |
| Binary (base 2) | 1001110000000001 |
| Octal (base 8) | 116001 |
| Hexadecimal (base 16) | 9C01 |
| Base 3 | 2000210011 |
| As time | 39937 seconds = 11 h 5 min 37 s |
Is 39937 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 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 1) | 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 7) | 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 39937 a prime number?
Yes. 39937 is divisible only by 1 and itself.
What are the factors of 39937?
1, 39937.
What is 39937 in binary?
1001110000000001 (hexadecimal 9C01, octal 116001).
What is the square root of 39937?
About 199.8424.
Is 39937 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 39937?
39937 is the 4198th prime number.