The number 33033
33033 is a palindrome: it reads 33033 backwards too. Its prime factorisation is 3 × 7 × × 13. Divisors (24): 1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 121, 143, 231, 273, 363, 429 … 33033.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33033: a palindrome: it reads 33033 backwards too.
- 2
33033 is composite. Its prime factorisation is
- 3
The divisors add up to 59584; without 33033 itself that is 26551, so 33033 is deficient (26551 is less than 33033). Euler's totient φ(33033) = 15840 numbers up to 33033 share no factor with it.
- 4
The digits of 33033 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33033 = 3 \times 7 \times 11^{2} \times 13 \]33033 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 59584 |
| Euler totient φ(n) | 15840 |
| Square | 1091179089 |
| Cube | 36044918846937 |
| Square root | 181.749828 (= 11√273) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.3033 × |
33033 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and thirty-three |
| Binary (base 2) | 1000000100001001 |
| Octal (base 8) | 100411 |
| Hexadecimal (base 16) | 8109 |
| Base 3 | 1200022110 |
| As time | 33033 seconds = 9 h 10 min 33 s |
Is 33033 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 (33033 ÷ 3 = 11011) | 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 | Yes (33033 ÷ 7 = 4719) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 (33033 ÷ 11 = 3003) | 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 33033 a prime number?
No. 33033 = 3 × 7 × × 13, so it is divisible by 3.
What are the factors of 33033?
1, 3, 7, 11, 13, 21, 33, 39, 77, 91, 121, 143, 231, 273, 363, 429, 847, 1001, 1573, 2541, 3003, 4719, 11011, 33033.
What is 33033 in binary?
1000000100001001 (hexadecimal 8109, octal 100411).
What is the square root of 33033?
About 181.7498, exactly 11√273.
Is 33033 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 33033?
33033 is a palindrome: it reads 33033 backwards too.