The number 33438
33438 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5573. Divisors (8): 1, 2, 3, 6, 5573, 11146, 16719, 33438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33438 is composite. Its prime factorisation is
- 3
The divisors add up to 66888; without 33438 itself that is 33450, so 33438 is abundant (33450 is more than 33438). Euler's totient φ(33438) = 11144 numbers up to 33438 share no factor with it.
- 4
The digits of 33438 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33438 = 2 \times 3 \times 5573 \]
33438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66888 |
| Euler totient φ(n) | 11144 |
| Square | 1118099844 |
| Cube | 37387022583672 |
| Square root | 182.860603 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.3438 × |
33438 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and thirty-eight |
| Binary (base 2) | 1000001010011110 |
| Octal (base 8) | 101236 |
| Hexadecimal (base 16) | 829E |
| Base 3 | 1200212110 |
| As time | 33438 seconds = 9 h 17 min 18 s |
Is 33438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33438 ÷ 2 = 16719) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33438 ÷ 3 = 11146) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 (33438 ÷ 6 = 5573) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33438 a prime number?
No. 33438 = 2 × 3 × 5573, so it is divisible by 2.
What are the factors of 33438?
1, 2, 3, 6, 5573, 11146, 16719, 33438.
What is 33438 in binary?
1000001010011110 (hexadecimal 829E, octal 101236).
What is the square root of 33438?
About 182.8606.
Is 33438 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33438?
It is a composite number with 8 divisors.