The number 33842
33842 is a composite number with 4 divisors. Its prime factorisation is 2 × 16921. Divisors (4): 1, 2, 16921, 33842.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33842: a semiprime: 2 × 16921, the product of two primes.
- 2
33842 is composite. Its prime factorisation is
- 3
The divisors add up to 50766; without 33842 itself that is 16924, so 33842 is deficient (16924 is less than 33842). Euler's totient φ(33842) = 16920 numbers up to 33842 share no factor with it.
- 4
The digits of 33842 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 85 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33842 = 2 \times 16921 \]
33842 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 50766 |
| Euler totient φ(n) | 16920 |
| Square | 1145280964 |
| Cube | 38758598383688 |
| Square root | 183.961953 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 85 |
| Scientific notation | 3.3842 × |
33842 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand eight hundred and forty-two |
| Binary (base 2) | 1000010000110010 |
| Octal (base 8) | 102062 |
| Hexadecimal (base 16) | 8432 |
| Base 3 | 1201102102 |
| As time | 33842 seconds = 9 h 24 min 2 s |
Is 33842 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33842 ÷ 2 = 16921) | 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 | 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 2) | 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 2) | 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 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33842 a prime number?
No. 33842 = 2 × 16921, so it is divisible by 2.
What are the factors of 33842?
1, 2, 16921, 33842.
What is 33842 in binary?
1000010000110010 (hexadecimal 8432, octal 102062).
What is the square root of 33842?
About 183.9620.
Is 33842 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 33842?
33842 is a semiprime: 2 × 16921, the product of two primes.