The number 38001
38001 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 239. Divisors (8): 1, 3, 53, 159, 239, 717, 12667, 38001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38001 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 38001 itself that is 13839, so 38001 is deficient (13839 is less than 38001). Euler's totient φ(38001) = 24752 numbers up to 38001 share no factor with it.
- 4
The digits of 38001 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 80 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38001 = 3 \times 53 \times 239 \]
38001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 24752 |
| Square | 1444076001 |
| Cube | 54876332114001 |
| Square root | 194.938452 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 80 |
| Scientific notation | 3.8001 × |
38001 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and one |
| Binary (base 2) | 1001010001110001 |
| Octal (base 8) | 112161 |
| Hexadecimal (base 16) | 9471 |
| Base 3 | 1221010110 |
| As time | 38001 seconds = 10 h 33 min 21 s |
Is 38001 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 (38001 ÷ 3 = 12667) | 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 1) | 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 5) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 38001 a prime number?
No. 38001 = 3 × 53 × 239, so it is divisible by 3.
What are the factors of 38001?
1, 3, 53, 159, 239, 717, 12667, 38001.
What is 38001 in binary?
1001010001110001 (hexadecimal 9471, octal 112161).
What is the square root of 38001?
About 194.9385.
Is 38001 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 38001?
It is a composite number with 8 divisors.