The number 33363
33363 is a composite number with 12 divisors. Its prime factorisation is × 11 × 337. Divisors (12): 1, 3, 9, 11, 33, 99, 337, 1011, 3033, 3707, 11121, 33363.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33363 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33363 is composite. Its prime factorisation is
- 3
The divisors add up to 52728; without 33363 itself that is 19365, so 33363 is deficient (19365 is less than 33363). Euler's totient φ(33363) = 20160 numbers up to 33363 share no factor with it.
- 4
The digits of 33363 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
\[ 33363 = 3^{2} \times 11 \times 337 \]33363 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 52728 |
| Euler totient φ(n) | 20160 |
| Square | 1113089769 |
| Cube | 37136013963147 |
| Square root | 182.655413 (= 3√3707) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3363 × |
33363 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and sixty-three |
| Binary (base 2) | 1000001001010011 |
| Octal (base 8) | 101123 |
| Hexadecimal (base 16) | 8253 |
| Base 3 | 1200202200 |
| As time | 33363 seconds = 9 h 16 min 3 s |
Is 33363 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 (33363 ÷ 3 = 11121) | 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 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 1) | 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 | Yes (33363 ÷ 9 = 3707) | 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 | Yes (33363 ÷ 11 = 3033) | 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 33363 a prime number?
No. 33363 = × 11 × 337, so it is divisible by 3.
What are the factors of 33363?
1, 3, 9, 11, 33, 99, 337, 1011, 3033, 3707, 11121, 33363.
What is 33363 in binary?
1000001001010011 (hexadecimal 8253, octal 101123).
What is the square root of 33363?
About 182.6554, exactly 3√3707.
Is 33363 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33363?
It is a composite number with 12 divisors.