The number 38049
38049 is a composite number with 8 divisors. Its prime factorisation is 3 × 11 × 1153. Divisors (8): 1, 3, 11, 33, 1153, 3459, 12683, 38049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38049 is composite. Its prime factorisation is
- 3
The divisors add up to 55392; without 38049 itself that is 17343, so 38049 is deficient (17343 is less than 38049). Euler's totient φ(38049) = 23040 numbers up to 38049 share no factor with it.
- 4
The digits of 38049 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 199 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38049 = 3 \times 11 \times 1153 \]
38049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 55392 |
| Euler totient φ(n) | 23040 |
| Square | 1447726401 |
| Cube | 55084541831649 |
| Square root | 195.061529 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 199 |
| Scientific notation | 3.8049 × |
38049 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty-nine |
| Binary (base 2) | 1001010010100001 |
| Octal (base 8) | 112241 |
| Hexadecimal (base 16) | 94A1 |
| Base 3 | 1221012020 |
| As time | 38049 seconds = 10 h 34 min 9 s |
Is 38049 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 | Yes (38049 ÷ 3 = 12683) | 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 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (38049 ÷ 11 = 3459) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38049 a prime number?
No. 38049 = 3 × 11 × 1153, so it is divisible by 3.
What are the factors of 38049?
1, 3, 11, 33, 1153, 3459, 12683, 38049.
What is 38049 in binary?
1001010010100001 (hexadecimal 94A1, octal 112241).
What is the square root of 38049?
About 195.0615.
Is 38049 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38049?
It is a composite number with 8 divisors.