The number 33942
33942 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5657. Divisors (8): 1, 2, 3, 6, 5657, 11314, 16971, 33942.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33942 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33942 is composite. Its prime factorisation is
- 3
The divisors add up to 67896; without 33942 itself that is 33954, so 33942 is abundant (33954 is more than 33942). Euler's totient φ(33942) = 11312 numbers up to 33942 share no factor with it.
- 4
The digits of 33942 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 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33942 = 2 \times 3 \times 5657 \]
33942 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 67896 |
| Euler totient φ(n) | 11312 |
| Square | 1152059364 |
| Cube | 39103198932888 |
| Square root | 184.233547 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.3942 × |
33942 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and forty-two |
| Binary (base 2) | 1000010010010110 |
| Octal (base 8) | 102226 |
| Hexadecimal (base 16) | 8496 |
| Base 3 | 1201120010 |
| As time | 33942 seconds = 9 h 25 min 42 s |
Is 33942 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33942 ÷ 2 = 16971) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33942 ÷ 3 = 11314) | 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 | Yes (33942 ÷ 6 = 5657) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 33942 a prime number?
No. 33942 = 2 × 3 × 5657, so it is divisible by 2.
What are the factors of 33942?
1, 2, 3, 6, 5657, 11314, 16971, 33942.
What is 33942 in binary?
1000010010010110 (hexadecimal 8496, octal 102226).
What is the square root of 33942?
About 184.2335.
Is 33942 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33942?
It is a composite number with 8 divisors.