The number 33428
33428 is a composite number with 12 divisors. Its prime factorisation is × 61 × 137. Divisors (12): 1, 2, 4, 61, 122, 137, 244, 274, 548, 8357, 16714, 33428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33428 is composite. Its prime factorisation is
- 3
The divisors add up to 59892; without 33428 itself that is 26464, so 33428 is deficient (26464 is less than 33428). Euler's totient φ(33428) = 16320 numbers up to 33428 share no factor with it.
- 4
The digits of 33428 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33428 = 2^{2} \times 61 \times 137 \]33428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59892 |
| Euler totient φ(n) | 16320 |
| Square | 1117431184 |
| Cube | 37353489618752 |
| Square root | 182.833257 (= 2√8357) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3428 × |
33428 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty-eight |
| Binary (base 2) | 1000001010010100 |
| Octal (base 8) | 101224 |
| Hexadecimal (base 16) | 8294 |
| Base 3 | 1200212002 |
| As time | 33428 seconds = 9 h 17 min 8 s |
Is 33428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33428 ÷ 2 = 16714) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33428 ÷ 4 = 8357) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33428 a prime number?
No. 33428 = × 61 × 137, so it is divisible by 2.
What are the factors of 33428?
1, 2, 4, 61, 122, 137, 244, 274, 548, 8357, 16714, 33428.
What is 33428 in binary?
1000001010010100 (hexadecimal 8294, octal 101224).
What is the square root of 33428?
About 182.8333, exactly 2√8357.
Is 33428 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33428?
It is a composite number with 12 divisors.