The number 38149
38149 is the 4026th prime number. Its only divisors are 1 and 38149.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38149: the 4026th prime number.
- 2
38149 is prime, so its only factors are 1 and 38149. It is the 4026th prime; the next prime is 38153 and the one before is 38119.
- 3
The divisors add up to 38150; without 38149 itself that is 1, so 38149 is deficient (1 is less than 38149). Euler's totient φ(38149) = 38148 numbers up to 38149 share no factor with it.
- 4
The digits of 38149 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 80 steps to reach 1.
38149 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 38150 |
| Euler totient φ(n) | 38148 |
| Square | 1455346201 |
| Cube | 55520002221949 |
| Square root | 195.317690 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8149 × |
38149 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and forty-nine |
| Binary (base 2) | 1001010100000101 |
| Octal (base 8) | 112405 |
| Hexadecimal (base 16) | 9505 |
| Base 3 | 1221022221 |
| As time | 38149 seconds = 10 h 35 min 49 s |
Is 38149 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 6) | 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 7) | 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 1) | 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 38149 a prime number?
Yes. 38149 is divisible only by 1 and itself.
What are the factors of 38149?
1, 38149.
What is 38149 in binary?
1001010100000101 (hexadecimal 9505, octal 112405).
What is the square root of 38149?
About 195.3177.
Is 38149 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 38149?
38149 is the 4026th prime number.