The number 38000
38000 is a composite number with 40 divisors. Its prime factorisation is × × 19. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95 … 38000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38000 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38000 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 38000 itself that is 58720, so 38000 is abundant (58720 is more than 38000). Euler's totient φ(38000) = 14400 numbers up to 38000 share no factor with it.
- 4
The digits of 38000 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 168 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38000 = 2^{4} \times 5^{3} \times 19 \]38000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 14400 |
| Square | 1444000000 |
| Cube | 54872000000000 |
| Square root | 194.935887 (= 20√95) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 168 |
| Scientific notation | 3.8 × |
38000 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand |
| Binary (base 2) | 1001010001110000 |
| Octal (base 8) | 112160 |
| Hexadecimal (base 16) | 9470 |
| Base 3 | 1221010102 |
| As time | 38000 seconds = 10 h 33 min 20 s |
Is 38000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38000 ÷ 2 = 19000) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38000 ÷ 4 = 9500) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38000 ÷ 5 = 7600) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (38000 ÷ 8 = 4750) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38000 ÷ 10 = 3800) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38000 a prime number?
No. 38000 = × × 19, so it is divisible by 2.
What are the factors of 38000?
1, 2, 4, 5, 8, 10, 16, 19, 20, 25, 38, 40, 50, 76, 80, 95, 100, 125, 152, 190, 200, 250, 304, 380, 400, 475, 500, 760, 950, 1000, 1520, 1900, 2000, 2375, 3800, 4750, 7600, 9500, 19000, 38000.
What is 38000 in binary?
1001010001110000 (hexadecimal 9470, octal 112160).
What is the square root of 38000?
About 194.9359, exactly 20√95.
Is 38000 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 38000?
It is a composite number with 40 divisors.