The number 33093
33093 is a composite number with 6 divisors. Its prime factorisation is × 3677. Divisors (6): 1, 3, 9, 3677, 11031, 33093.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33093 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33093 is composite. Its prime factorisation is
- 3
The divisors add up to 47814; without 33093 itself that is 14721, so 33093 is deficient (14721 is less than 33093). Euler's totient φ(33093) = 22056 numbers up to 33093 share no factor with it.
- 4
The digits of 33093 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 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33093 = 3^{2} \times 3677 \]33093 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 47814 |
| Euler totient φ(n) | 22056 |
| Square | 1095146649 |
| Cube | 36241688055357 |
| Square root | 181.914815 (= 3√3677) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3093 × |
33093 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and ninety-three |
| Binary (base 2) | 1000000101000101 |
| Octal (base 8) | 100505 |
| Hexadecimal (base 16) | 8145 |
| Base 3 | 1200101200 |
| As time | 33093 seconds = 9 h 11 min 33 s |
Is 33093 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 (33093 ÷ 3 = 11031) | 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 (33093 ÷ 9 = 3677) | 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 5) | 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 33093 a prime number?
No. 33093 = × 3677, so it is divisible by 3.
What are the factors of 33093?
1, 3, 9, 3677, 11031, 33093.
What is 33093 in binary?
1000000101000101 (hexadecimal 8145, octal 100505).
What is the square root of 33093?
About 181.9148, exactly 3√3677.
Is 33093 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33093?
It is a composite number with 6 divisors.