The number 37189
37189 is the 3940th prime number. Its only divisors are 1 and 37189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37189: the 3940th prime number.
- 2
37189 is prime, so its only factors are 1 and 37189. It is the 3940th prime; the next prime is 37199 and the one before is 37181.
- 3
The divisors add up to 37190; without 37189 itself that is 1, so 37189 is deficient (1 is less than 37189). Euler's totient φ(37189) = 37188 numbers up to 37189 share no factor with it.
- 4
The digits of 37189 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 186 steps to reach 1.
37189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37190 |
| Euler totient φ(n) | 37188 |
| Square | 1383021721 |
| Cube | 51433194782269 |
| Square root | 192.844497 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7189 × |
37189 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and eighty-nine |
| Binary (base 2) | 1001000101000101 |
| Octal (base 8) | 110505 |
| Hexadecimal (base 16) | 9145 |
| Base 3 | 1220000101 |
| As time | 37189 seconds = 10 h 19 min 49 s |
Is 37189 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 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37189 a prime number?
Yes. 37189 is divisible only by 1 and itself.
What are the factors of 37189?
1, 37189.
What is 37189 in binary?
1001000101000101 (hexadecimal 9145, octal 110505).
What is the square root of 37189?
About 192.8445.
Is 37189 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37189?
37189 is the 3940th prime number.