The number 37987
37987 is the 4014th prime number. Its only divisors are 1 and 37987.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37987: the 4014th prime number.
- 2
37987 is prime, so its only factors are 1 and 37987. It is the 4014th prime; the next prime is 37991 and the one before is 37967.
- 3
The divisors add up to 37988; without 37987 itself that is 1, so 37987 is deficient (1 is less than 37987). Euler's totient φ(37987) = 37986 numbers up to 37987 share no factor with it.
- 4
The digits of 37987 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
37987 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37988 |
| Euler totient φ(n) | 37986 |
| Square | 1443012169 |
| Cube | 54815703263803 |
| Square root | 194.902540 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.7987 × |
37987 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand nine hundred and eighty-seven |
| Binary (base 2) | 1001010001100011 |
| Octal (base 8) | 112143 |
| Hexadecimal (base 16) | 9463 |
| Base 3 | 1221002221 |
| As time | 37987 seconds = 10 h 33 min 7 s |
Is 37987 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 5) | 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 7) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37987 a prime number?
Yes. 37987 is divisible only by 1 and itself.
What are the factors of 37987?
1, 37987.
What is 37987 in binary?
1001010001100011 (hexadecimal 9463, octal 112143).
What is the square root of 37987?
About 194.9025.
Is 37987 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 37987?
37987 is the 4014th prime number.