The number 33362
33362 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 2383. Divisors (8): 1, 2, 7, 14, 2383, 4766, 16681, 33362.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33362 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33362 is composite. Its prime factorisation is
- 3
The divisors add up to 57216; without 33362 itself that is 23854, so 33362 is deficient (23854 is less than 33362). Euler's totient φ(33362) = 14292 numbers up to 33362 share no factor with it.
- 4
The digits of 33362 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 116 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33362 = 2 \times 7 \times 2383 \]
33362 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 57216 |
| Euler totient φ(n) | 14292 |
| Square | 1113023044 |
| Cube | 37132674793928 |
| Square root | 182.652676 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 116 |
| Scientific notation | 3.3362 × |
33362 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and sixty-two |
| Binary (base 2) | 1000001001010010 |
| Octal (base 8) | 101122 |
| Hexadecimal (base 16) | 8252 |
| Base 3 | 1200202122 |
| As time | 33362 seconds = 9 h 16 min 2 s |
Is 33362 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33362 ÷ 2 = 16681) | 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 | Yes (33362 ÷ 7 = 4766) | 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 8) | 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 10) | 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 33362 a prime number?
No. 33362 = 2 × 7 × 2383, so it is divisible by 2.
What are the factors of 33362?
1, 2, 7, 14, 2383, 4766, 16681, 33362.
What is 33362 in binary?
1000001001010010 (hexadecimal 8252, octal 101122).
What is the square root of 33362?
About 182.6527.
Is 33362 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33362?
It is a composite number with 8 divisors.