The number 39139
39139 is the 4121st prime number. Its only divisors are 1 and 39139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39139: the 4121st prime number.
- 2
39139 is prime, so its only factors are 1 and 39139. It is the 4121st prime; the next prime is 39157 and the one before is 39133.
- 3
The divisors add up to 39140; without 39139 itself that is 1, so 39139 is deficient (1 is less than 39139). Euler's totient φ(39139) = 39138 numbers up to 39139 share no factor with it.
- 4
The digits of 39139 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
39139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 39140 |
| Euler totient φ(n) | 39138 |
| Square | 1531861321 |
| Cube | 59955520242619 |
| Square root | 197.835790 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.9139 × |
39139 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand one hundred and thirty-nine |
| Binary (base 2) | 1001100011100011 |
| Octal (base 8) | 114343 |
| Hexadecimal (base 16) | 98E3 |
| Base 3 | 1222200121 |
| As time | 39139 seconds = 10 h 52 min 19 s |
Is 39139 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39139 a prime number?
Yes. 39139 is divisible only by 1 and itself.
What are the factors of 39139?
1, 39139.
What is 39139 in binary?
1001100011100011 (hexadecimal 98E3, octal 114343).
What is the square root of 39139?
About 197.8358.
Is 39139 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 39139?
39139 is the 4121st prime number.