The number 37889
37889 is the 4007th prime number. Its only divisors are 1 and 37889.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37889: the 4007th prime number.
- 2
37889 is prime, so its only factors are 1 and 37889. It is the 4007th prime; the next prime is 37897 and the one before is 37879.
- 3
The divisors add up to 37890; without 37889 itself that is 1, so 37889 is deficient (1 is less than 37889). Euler's totient φ(37889) = 37888 numbers up to 37889 share no factor with it.
- 4
The digits of 37889 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37889 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37890 |
| Euler totient φ(n) | 37888 |
| Square | 1435576321 |
| Cube | 54392551226369 |
| Square root | 194.650970 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7889 × |
37889 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand eight hundred and eighty-nine |
| Binary (base 2) | 1001010000000001 |
| Octal (base 8) | 112001 |
| Hexadecimal (base 16) | 9401 |
| Base 3 | 1220222022 |
| As time | 37889 seconds = 10 h 31 min 29 s |
Is 37889 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 1) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37889 a prime number?
Yes. 37889 is divisible only by 1 and itself.
What are the factors of 37889?
1, 37889.
What is 37889 in binary?
1001010000000001 (hexadecimal 9401, octal 112001).
What is the square root of 37889?
About 194.6510.
Is 37889 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 37889?
37889 is the 4007th prime number.