The number 38189
38189 is the 4031st prime number. Its only divisors are 1 and 38189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38189: the 4031st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
38189 is prime, so its only factors are 1 and 38189. It is the 4031st prime; the next prime is 38197 and the one before is 38183.
- 3
The divisors add up to 38190; without 38189 itself that is 1, so 38189 is deficient (1 is less than 38189). Euler's totient φ(38189) = 38188 numbers up to 38189 share no factor with it.
- 4
The digits of 38189 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
38189 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38190 |
| Euler totient φ(n) | 38188 |
| Square | 1458399721 |
| Cube | 55694826945269 |
| Square root | 195.420060 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 3.8189 × |
38189 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and eighty-nine |
| Binary (base 2) | 1001010100101101 |
| Octal (base 8) | 112455 |
| Hexadecimal (base 16) | 952D |
| Base 3 | 1221101102 |
| As time | 38189 seconds = 10 h 36 min 29 s |
Is 38189 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 8) | 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 38189 a prime number?
Yes. 38189 is divisible only by 1 and itself.
What are the factors of 38189?
1, 38189.
What is 38189 in binary?
1001010100101101 (hexadecimal 952D, octal 112455).
What is the square root of 38189?
About 195.4201.
Is 38189 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 38189?
38189 is the 4031st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.