The number 33442
33442 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 727. Divisors (8): 1, 2, 23, 46, 727, 1454, 16721, 33442.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33442 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33442 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 33442 itself that is 18974, so 33442 is deficient (18974 is less than 33442). Euler's totient φ(33442) = 15972 numbers up to 33442 share no factor with it.
- 4
The digits of 33442 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
\[ 33442 = 2 \times 23 \times 727 \]
33442 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 15972 |
| Square | 1118367364 |
| Cube | 37400441386888 |
| Square root | 182.871540 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3442 × |
33442 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and forty-two |
| Binary (base 2) | 1000001010100010 |
| Octal (base 8) | 101242 |
| Hexadecimal (base 16) | 82A2 |
| Base 3 | 1200212121 |
| As time | 33442 seconds = 9 h 17 min 22 s |
Is 33442 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33442 ÷ 2 = 16721) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33442 a prime number?
No. 33442 = 2 × 23 × 727, so it is divisible by 2.
What are the factors of 33442?
1, 2, 23, 46, 727, 1454, 16721, 33442.
What is 33442 in binary?
1000001010100010 (hexadecimal 82A2, octal 101242).
What is the square root of 33442?
About 182.8715.
Is 33442 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 33442?
It is a composite number with 8 divisors.