The number 33322
33322 is a composite number with 4 divisors. Its prime factorisation is 2 × 16661. Divisors (4): 1, 2, 16661, 33322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 33322: a semiprime: 2 × 16661, the product of two primes.
- 2
33322 is composite. Its prime factorisation is
- 3
The divisors add up to 49986; without 33322 itself that is 16664, so 33322 is deficient (16664 is less than 33322). Euler's totient φ(33322) = 16660 numbers up to 33322 share no factor with it.
- 4
The digits of 33322 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33322 = 2 \times 16661 \]
33322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 49986 |
| Euler totient φ(n) | 16660 |
| Square | 1110355684 |
| Cube | 36999272102248 |
| Square root | 182.543146 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3322 × |
33322 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand three hundred and twenty-two |
| Binary (base 2) | 1000001000101010 |
| Octal (base 8) | 101052 |
| Hexadecimal (base 16) | 822A |
| Base 3 | 1200201011 |
| As time | 33322 seconds = 9 h 15 min 22 s |
Is 33322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33322 ÷ 2 = 16661) | 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 2) | 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 4) | 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 3) | 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 33322 a prime number?
No. 33322 = 2 × 16661, so it is divisible by 2.
What are the factors of 33322?
1, 2, 16661, 33322.
What is 33322 in binary?
1000001000101010 (hexadecimal 822A, octal 101052).
What is the square root of 33322?
About 182.5431.
Is 33322 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 33322?
33322 is a semiprime: 2 × 16661, the product of two primes.