The number 37139
37139 is the 3936th prime number. Its only divisors are 1 and 37139.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37139: the 3936th prime number.
- 2
37139 is prime, so its only factors are 1 and 37139. It is the 3936th prime; the next prime is 37159 and the one before is 37123.
- 3
The divisors add up to 37140; without 37139 itself that is 1, so 37139 is deficient (1 is less than 37139). Euler's totient φ(37139) = 37138 numbers up to 37139 share no factor with it.
- 4
The digits of 37139 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
37139 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37140 |
| Euler totient φ(n) | 37138 |
| Square | 1379305321 |
| Cube | 51226020316619 |
| Square root | 192.714815 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.7139 × |
37139 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and thirty-nine |
| Binary (base 2) | 1001000100010011 |
| Octal (base 8) | 110423 |
| Hexadecimal (base 16) | 9113 |
| Base 3 | 1212221112 |
| As time | 37139 seconds = 10 h 18 min 59 s |
Is 37139 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 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37139 a prime number?
Yes. 37139 is divisible only by 1 and itself.
What are the factors of 37139?
1, 37139.
What is 37139 in binary?
1001000100010011 (hexadecimal 9113, octal 110423).
What is the square root of 37139?
About 192.7148.
Is 37139 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37139?
37139 is the 3936th prime number.