The number 33342
33342 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 5557. Divisors (8): 1, 2, 3, 6, 5557, 11114, 16671, 33342.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33342 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33342 is composite. Its prime factorisation is
- 3
The divisors add up to 66696; without 33342 itself that is 33354, so 33342 is abundant (33354 is more than 33342). Euler's totient φ(33342) = 11112 numbers up to 33342 share no factor with it.
- 4
The digits of 33342 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 160 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33342 = 2 \times 3 \times 5557 \]
33342 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 66696 |
| Euler totient φ(n) | 11112 |
| Square | 1111688964 |
| Cube | 37065933437688 |
| Square root | 182.597919 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 160 |
| Scientific notation | 3.3342 × |
33342 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and forty-two |
| Binary (base 2) | 1000001000111110 |
| Octal (base 8) | 101076 |
| Hexadecimal (base 16) | 823E |
| Base 3 | 1200201220 |
| As time | 33342 seconds = 9 h 15 min 42 s |
Is 33342 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33342 ÷ 2 = 16671) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33342 ÷ 3 = 11114) | 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 (33342 ÷ 6 = 5557) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | 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 1) | 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 33342 a prime number?
No. 33342 = 2 × 3 × 5557, so it is divisible by 2.
What are the factors of 33342?
1, 2, 3, 6, 5557, 11114, 16671, 33342.
What is 33342 in binary?
1000001000111110 (hexadecimal 823E, octal 101076).
What is the square root of 33342?
About 182.5979.
Is 33342 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 33342?
It is a composite number with 8 divisors.