The number 38133
38133 is a composite number with 12 divisors. Its prime factorisation is × 19 × 223. Divisors (12): 1, 3, 9, 19, 57, 171, 223, 669, 2007, 4237, 12711, 38133.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
38133 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
38133 is composite. Its prime factorisation is
- 3
The divisors add up to 58240; without 38133 itself that is 20107, so 38133 is deficient (20107 is less than 38133). Euler's totient φ(38133) = 23976 numbers up to 38133 share no factor with it.
- 4
The digits of 38133 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 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38133 = 3^{2} \times 19 \times 223 \]38133 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 58240 |
| Euler totient φ(n) | 23976 |
| Square | 1454125689 |
| Cube | 55450174898637 |
| Square root | 195.276727 (= 3√4237) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.8133 × |
38133 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand one hundred and thirty-three |
| Binary (base 2) | 1001010011110101 |
| Octal (base 8) | 112365 |
| Hexadecimal (base 16) | 94F5 |
| Base 3 | 1221022100 |
| As time | 38133 seconds = 10 h 35 min 33 s |
Is 38133 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 (38133 ÷ 3 = 12711) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38133 ÷ 9 = 4237) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 38133 a prime number?
No. 38133 = × 19 × 223, so it is divisible by 3.
What are the factors of 38133?
1, 3, 9, 19, 57, 171, 223, 669, 2007, 4237, 12711, 38133.
What is 38133 in binary?
1001010011110101 (hexadecimal 94F5, octal 112365).
What is the square root of 38133?
About 195.2767, exactly 3√4237.
Is 38133 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38133?
It is a composite number with 12 divisors.