The number 33381
33381 is a composite number with 6 divisors. Its prime factorisation is × 3709. Divisors (6): 1, 3, 9, 3709, 11127, 33381.
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How to work it out
- 1
33381 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33381 is composite. Its prime factorisation is
- 3
The divisors add up to 48230; without 33381 itself that is 14849, so 33381 is deficient (14849 is less than 33381). Euler's totient φ(33381) = 22248 numbers up to 33381 share no factor with it.
- 4
The digits of 33381 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 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33381 = 3^{2} \times 3709 \]33381 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 48230 |
| Euler totient φ(n) | 22248 |
| Square | 1114291161 |
| Cube | 37196153245341 |
| Square root | 182.704680 (= 3√3709) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3381 × |
33381 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty-one |
| Binary (base 2) | 1000001001100101 |
| Octal (base 8) | 101145 |
| Hexadecimal (base 16) | 8265 |
| Base 3 | 1200210100 |
| As time | 33381 seconds = 9 h 16 min 21 s |
Is 33381 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 (33381 ÷ 3 = 11127) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33381 ÷ 9 = 3709) | 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 33381 a prime number?
No. 33381 = × 3709, so it is divisible by 3.
What are the factors of 33381?
1, 3, 9, 3709, 11127, 33381.
What is 33381 in binary?
1000001001100101 (hexadecimal 8265, octal 101145).
What is the square root of 33381?
About 182.7047, exactly 3√3709.
Is 33381 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33381?
It is a composite number with 6 divisors.