The number 38349
38349 is a composite number with 6 divisors. Its prime factorisation is × 4261. Divisors (6): 1, 3, 9, 4261, 12783, 38349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38349 is composite. Its prime factorisation is
- 3
The divisors add up to 55406; without 38349 itself that is 17057, so 38349 is deficient (17057 is less than 38349). Euler's totient φ(38349) = 25560 numbers up to 38349 share no factor with it.
- 4
The digits of 38349 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38349 = 3^{2} \times 4261 \]38349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 55406 |
| Euler totient φ(n) | 25560 |
| Square | 1470645801 |
| Cube | 56397795822549 |
| Square root | 195.829007 (= 3√4261) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.8349 × |
38349 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand three hundred and forty-nine |
| Binary (base 2) | 1001010111001101 |
| Octal (base 8) | 112715 |
| Hexadecimal (base 16) | 95CD |
| Base 3 | 1221121100 |
| As time | 38349 seconds = 10 h 39 min 9 s |
Is 38349 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 (38349 ÷ 3 = 12783) | 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 3) | 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 | Yes (38349 ÷ 9 = 4261) | 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 3) | 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 38349 a prime number?
No. 38349 = × 4261, so it is divisible by 3.
What are the factors of 38349?
1, 3, 9, 4261, 12783, 38349.
What is 38349 in binary?
1001010111001101 (hexadecimal 95CD, octal 112715).
What is the square root of 38349?
About 195.8290, exactly 3√4261.
Is 38349 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 38349?
It is a composite number with 6 divisors.