The number 33828
33828 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2819. Divisors (12): 1, 2, 3, 4, 6, 12, 2819, 5638, 8457, 11276, 16914, 33828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33828 is composite. Its prime factorisation is
- 3
The divisors add up to 78960; without 33828 itself that is 45132, so 33828 is abundant (45132 is more than 33828). Euler's totient φ(33828) = 11272 numbers up to 33828 share no factor with it.
- 4
The digits of 33828 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33828 = 2^{2} \times 3 \times 2819 \]33828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78960 |
| Euler totient φ(n) | 11272 |
| Square | 1144333584 |
| Cube | 38710516479552 |
| Square root | 183.923897 (= 2√8457) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3828 × |
33828 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and twenty-eight |
| Binary (base 2) | 1000010000100100 |
| Octal (base 8) | 102044 |
| Hexadecimal (base 16) | 8424 |
| Base 3 | 1201101220 |
| As time | 33828 seconds = 9 h 23 min 48 s |
Is 33828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33828 ÷ 2 = 16914) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33828 ÷ 3 = 11276) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33828 ÷ 4 = 8457) | 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 (33828 ÷ 6 = 5638) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (33828 ÷ 12 = 2819) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33828 a prime number?
No. 33828 = × 3 × 2819, so it is divisible by 2.
What are the factors of 33828?
1, 2, 3, 4, 6, 12, 2819, 5638, 8457, 11276, 16914, 33828.
What is 33828 in binary?
1000010000100100 (hexadecimal 8424, octal 102044).
What is the square root of 33828?
About 183.9239, exactly 2√8457.
Is 33828 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 33828?
It is a composite number with 12 divisors.