The number 38007
38007 is a composite number with 12 divisors. Its prime factorisation is × 41 × 103. Divisors (12): 1, 3, 9, 41, 103, 123, 309, 369, 927, 4223, 12669, 38007.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38007 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38007 is composite. Its prime factorisation is
- 3
The divisors add up to 56784; without 38007 itself that is 18777, so 38007 is deficient (18777 is less than 38007). Euler's totient φ(38007) = 24480 numbers up to 38007 share no factor with it.
- 4
The digits of 38007 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38007 = 3^{2} \times 41 \times 103 \]38007 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 56784 |
| Euler totient φ(n) | 24480 |
| Square | 1444532049 |
| Cube | 54902329586343 |
| Square root | 194.953841 (= 3√4223) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.8007 × |
38007 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and seven |
| Binary (base 2) | 1001010001110111 |
| Octal (base 8) | 112167 |
| Hexadecimal (base 16) | 9477 |
| Base 3 | 1221010200 |
| As time | 38007 seconds = 10 h 33 min 27 s |
Is 38007 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 (38007 ÷ 3 = 12669) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38007 ÷ 9 = 4223) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38007 a prime number?
No. 38007 = × 41 × 103, so it is divisible by 3.
What are the factors of 38007?
1, 3, 9, 41, 103, 123, 309, 369, 927, 4223, 12669, 38007.
What is 38007 in binary?
1001010001110111 (hexadecimal 9477, octal 112167).
What is the square root of 38007?
About 194.9538, exactly 3√4223.
Is 38007 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38007?
It is a composite number with 12 divisors.