The number 33424
33424 is a composite number with 10 divisors. Its prime factorisation is × 2089. Divisors (10): 1, 2, 4, 8, 16, 2089, 4178, 8356, 16712, 33424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33424: a Harshad number: divisible by its digit sum 16.
- 2
33424 is composite. Its prime factorisation is
- 3
The divisors add up to 64790; without 33424 itself that is 31366, so 33424 is deficient (31366 is less than 33424). Euler's totient φ(33424) = 16704 numbers up to 33424 share no factor with it.
- 4
The digits of 33424 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33424 = 2^{4} \times 2089 \]33424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 64790 |
| Euler totient φ(n) | 16704 |
| Square | 1117163776 |
| Cube | 37340082049024 |
| Square root | 182.822318 (= 4√2089) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3424 × |
33424 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and twenty-four |
| Binary (base 2) | 1000001010010000 |
| Octal (base 8) | 101220 |
| Hexadecimal (base 16) | 8290 |
| Base 3 | 1200211221 |
| As time | 33424 seconds = 9 h 17 min 4 s |
Is 33424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33424 ÷ 2 = 16712) | 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 (33424 ÷ 4 = 8356) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 | Yes (33424 ÷ 8 = 4178) | 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 4) | 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 33424 a prime number?
No. 33424 = × 2089, so it is divisible by 2.
What are the factors of 33424?
1, 2, 4, 8, 16, 2089, 4178, 8356, 16712, 33424.
What is 33424 in binary?
1000001010010000 (hexadecimal 8290, octal 101220).
What is the square root of 33424?
About 182.8223, exactly 4√2089.
Is 33424 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33424?
33424 is a Harshad number: divisible by its digit sum 16.