The number 33387
33387 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 359. Divisors (8): 1, 3, 31, 93, 359, 1077, 11129, 33387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33387 is composite. Its prime factorisation is
- 3
The divisors add up to 46080; without 33387 itself that is 12693, so 33387 is deficient (12693 is less than 33387). Euler's totient φ(33387) = 21480 numbers up to 33387 share no factor with it.
- 4
The digits of 33387 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33387 = 3 \times 31 \times 359 \]
33387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46080 |
| Euler totient φ(n) | 21480 |
| Square | 1114691769 |
| Cube | 37216214091603 |
| Square root | 182.721099 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3387 × |
33387 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and eighty-seven |
| Binary (base 2) | 1000001001101011 |
| Octal (base 8) | 101153 |
| Hexadecimal (base 16) | 826B |
| Base 3 | 1200210120 |
| As time | 33387 seconds = 9 h 16 min 27 s |
Is 33387 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 (33387 ÷ 3 = 11129) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 33387 a prime number?
No. 33387 = 3 × 31 × 359, so it is divisible by 3.
What are the factors of 33387?
1, 3, 31, 93, 359, 1077, 11129, 33387.
What is 33387 in binary?
1000001001101011 (hexadecimal 826B, octal 101153).
What is the square root of 33387?
About 182.7211.
Is 33387 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33387?
It is a composite number with 8 divisors.