The number 38409
38409 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 59. Divisors (16): 1, 3, 7, 21, 31, 59, 93, 177, 217, 413, 651, 1239, 1829, 5487, 12803, 38409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38409 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38409 is composite. Its prime factorisation is
- 3
The divisors add up to 61440; without 38409 itself that is 23031, so 38409 is deficient (23031 is less than 38409). Euler's totient φ(38409) = 20880 numbers up to 38409 share no factor with it.
- 4
The digits of 38409 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 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38409 = 3 \times 7 \times 31 \times 59 \]
38409 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 61440 |
| Euler totient φ(n) | 20880 |
| Square | 1475251281 |
| Cube | 56662926451929 |
| Square root | 195.982142 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8409 × |
38409 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand four hundred and nine |
| Binary (base 2) | 1001011000001001 |
| Octal (base 8) | 113011 |
| Hexadecimal (base 16) | 9609 |
| Base 3 | 1221200120 |
| As time | 38409 seconds = 10 h 40 min 9 s |
Is 38409 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 (38409 ÷ 3 = 12803) | 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 | Yes (38409 ÷ 7 = 5487) | 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 | No (remainder 8) | 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 38409 a prime number?
No. 38409 = 3 × 7 × 31 × 59, so it is divisible by 3.
What are the factors of 38409?
1, 3, 7, 21, 31, 59, 93, 177, 217, 413, 651, 1239, 1829, 5487, 12803, 38409.
What is 38409 in binary?
1001011000001001 (hexadecimal 9609, octal 113011).
What is the square root of 38409?
About 195.9821.
Is 38409 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 38409?
It is a composite number with 16 divisors.