The number 33225
33225 is a composite number with 12 divisors. Its prime factorisation is 3 × × 443. Divisors (12): 1, 3, 5, 15, 25, 75, 443, 1329, 2215, 6645, 11075, 33225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33225: a Harshad number: divisible by its digit sum 15.
- 2
33225 is composite. Its prime factorisation is
- 3
The divisors add up to 55056; without 33225 itself that is 21831, so 33225 is deficient (21831 is less than 33225). Euler's totient φ(33225) = 17680 numbers up to 33225 share no factor with it.
- 4
The digits of 33225 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33225 = 3 \times 5^{2} \times 443 \]33225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 55056 |
| Euler totient φ(n) | 17680 |
| Square | 1103900625 |
| Cube | 36677098265625 |
| Square root | 182.277261 (= 5√1329) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.3225 × |
33225 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twenty-five |
| Binary (base 2) | 1000000111001001 |
| Octal (base 8) | 100711 |
| Hexadecimal (base 16) | 81C9 |
| Base 3 | 1200120120 |
| As time | 33225 seconds = 9 h 13 min 45 s |
Is 33225 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 (33225 ÷ 3 = 11075) | 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 | Yes (33225 ÷ 5 = 6645) | 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 3) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 33225 a prime number?
No. 33225 = 3 × × 443, so it is divisible by 3.
What are the factors of 33225?
1, 3, 5, 15, 25, 75, 443, 1329, 2215, 6645, 11075, 33225.
What is 33225 in binary?
1000000111001001 (hexadecimal 81C9, octal 100711).
What is the square root of 33225?
About 182.2773, exactly 5√1329.
Is 33225 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33225?
33225 is a Harshad number: divisible by its digit sum 15.