The number 33228
33228 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 71. Divisors (36): 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 71, 78, 117 … 33228.
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How to work it out
- 1
What is special about 33228: a Harshad number: divisible by its digit sum 18.
- 2
33228 is composite. Its prime factorisation is
- 3
The divisors add up to 91728; without 33228 itself that is 58500, so 33228 is abundant (58500 is more than 33228). Euler's totient φ(33228) = 10080 numbers up to 33228 share no factor with it.
- 4
The digits of 33228 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33228 = 2^{2} \times 3^{2} \times 13 \times 71 \]33228 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 91728 |
| Euler totient φ(n) | 10080 |
| Square | 1104099984 |
| Cube | 36687034268352 |
| Square root | 182.285490 (= 6√923) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3228 × |
33228 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and twenty-eight |
| Binary (base 2) | 1000000111001100 |
| Octal (base 8) | 100714 |
| Hexadecimal (base 16) | 81CC |
| Base 3 | 1200120200 |
| As time | 33228 seconds = 9 h 13 min 48 s |
Is 33228 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33228 ÷ 2 = 16614) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33228 ÷ 3 = 11076) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33228 ÷ 4 = 8307) | 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 | Yes (33228 ÷ 6 = 5538) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (33228 ÷ 9 = 3692) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33228 ÷ 12 = 2769) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33228 a prime number?
No. 33228 = × × 13 × 71, so it is divisible by 2.
What are the factors of 33228?
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 71, 78, 117, 142, 156, 213, 234, 284, 426, 468, 639, 852, 923, 1278, 1846, 2556, 2769, 3692, 5538, 8307, 11076, 16614, 33228.
What is 33228 in binary?
1000000111001100 (hexadecimal 81CC, octal 100714).
What is the square root of 33228?
About 182.2855, exactly 6√923.
Is 33228 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 33228?
33228 is a Harshad number: divisible by its digit sum 18.