The number 33028
33028 is a composite number with 12 divisors. Its prime factorisation is × 23 × 359. Divisors (12): 1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514, 33028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33028: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
33028 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 33028 itself that is 27452, so 33028 is deficient (27452 is less than 33028). Euler's totient φ(33028) = 15752 numbers up to 33028 share no factor with it.
- 4
The digits of 33028 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 191 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33028 = 2^{2} \times 23 \times 359 \]33028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 15752 |
| Square | 1090848784 |
| Cube | 36028553637952 |
| Square root | 181.736072 (= 2√8257) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 191 |
| Scientific notation | 3.3028 × |
33028 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand and twenty-eight |
| Binary (base 2) | 1000000100000100 |
| Octal (base 8) | 100404 |
| Hexadecimal (base 16) | 8104 |
| Base 3 | 1200022021 |
| As time | 33028 seconds = 9 h 10 min 28 s |
Is 33028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33028 ÷ 2 = 16514) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33028 ÷ 4 = 8257) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33028 a prime number?
No. 33028 = × 23 × 359, so it is divisible by 2.
What are the factors of 33028?
1, 2, 4, 23, 46, 92, 359, 718, 1436, 8257, 16514, 33028.
What is 33028 in binary?
1000000100000100 (hexadecimal 8104, octal 100404).
What is the square root of 33028?
About 181.7361, exactly 2√8257.
Is 33028 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33028?
33028 is a happy number: repeatedly adding the squares of its digits reaches 1.