The number 37087
37087 is the 3932nd prime number. Its only divisors are 1 and 37087.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37087: the 3932nd prime number.
- 2
37087 is prime, so its only factors are 1 and 37087. It is the 3932nd prime; the next prime is 37097 and the one before is 37061.
- 3
The divisors add up to 37088; without 37087 itself that is 1, so 37087 is deficient (1 is less than 37087). Euler's totient φ(37087) = 37086 numbers up to 37087 share no factor with it.
- 4
The digits of 37087 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 168 steps to reach 1.
37087 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37088 |
| Euler totient φ(n) | 37086 |
| Square | 1375445569 |
| Cube | 51011149817503 |
| Square root | 192.579854 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.7087 × |
37087 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and eighty-seven |
| Binary (base 2) | 1001000011011111 |
| Octal (base 8) | 110337 |
| Hexadecimal (base 16) | 90DF |
| Base 3 | 1212212121 |
| As time | 37087 seconds = 10 h 18 min 7 s |
Is 37087 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 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 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 37087 a prime number?
Yes. 37087 is divisible only by 1 and itself.
What are the factors of 37087?
1, 37087.
What is 37087 in binary?
1001000011011111 (hexadecimal 90DF, octal 110337).
What is the square root of 37087?
About 192.5799.
Is 37087 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 37087?
37087 is the 3932nd prime number.