The number 38005
38005 is a composite number with 8 divisors. Its prime factorisation is 5 × 11 × 691. Divisors (8): 1, 5, 11, 55, 691, 3455, 7601, 38005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38005 is composite. Its prime factorisation is
- 3
The divisors add up to 49824; without 38005 itself that is 11819, so 38005 is deficient (11819 is less than 38005). Euler's totient φ(38005) = 27600 numbers up to 38005 share no factor with it.
- 4
The digits of 38005 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38005 = 5 \times 11 \times 691 \]
38005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 49824 |
| Euler totient φ(n) | 27600 |
| Square | 1444380025 |
| Cube | 54893662850125 |
| Square root | 194.948711 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8005 × |
38005 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and five |
| Binary (base 2) | 1001010001110101 |
| Octal (base 8) | 112165 |
| Hexadecimal (base 16) | 9475 |
| Base 3 | 1221010121 |
| As time | 38005 seconds = 10 h 33 min 25 s |
Is 38005 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 | Yes (38005 ÷ 5 = 7601) | 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 2) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (38005 ÷ 11 = 3455) | 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 38005 a prime number?
No. 38005 = 5 × 11 × 691, so it is divisible by 5.
What are the factors of 38005?
1, 5, 11, 55, 691, 3455, 7601, 38005.
What is 38005 in binary?
1001010001110101 (hexadecimal 9475, octal 112165).
What is the square root of 38005?
About 194.9487.
Is 38005 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 38005?
It is a composite number with 8 divisors.