The number 322
322 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 23. Divisors (8): 1, 2, 7, 14, 23, 46, 161, 322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 322: a Harshad number: divisible by its digit sum 7.
- 2
322 is composite. Its prime factorisation is
- 3
The divisors add up to 576; without 322 itself that is 254, so 322 is deficient (254 is less than 322). Euler's totient φ(322) = 132 numbers up to 322 share no factor with it.
- 4
The digits of 322 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 322 = 2 \times 7 \times 23 \]
322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 576 |
| Euler totient φ(n) | 132 |
| Square | 103684 |
| Cube | 33386248 |
| Square root | 17.944358 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 99 |
| Scientific notation | 3.22 × |
322 in other forms
| Form | Value |
|---|---|
| In words | three hundred and twenty-two |
| Roman numerals | CCCXXII |
| Binary (base 2) | 101000010 |
| Octal (base 8) | 502 |
| Hexadecimal (base 16) | 142 |
| Base 3 | 102221 |
| As time | 322 seconds = 5 min 22 s |
Is 322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (322 ÷ 2 = 161) | 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 | Yes (322 ÷ 7 = 46) | 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 7) | 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 322 a prime number?
No. 322 = 2 × 7 × 23, so it is divisible by 2.
What are the factors of 322?
1, 2, 7, 14, 23, 46, 161, 322.
What is 322 in binary?
101000010 (hexadecimal 142, octal 502).
What is the square root of 322?
About 17.9444.
What is 322 in Roman numerals?
CCCXXII.
Is 322 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 322?
322 is a Harshad number: divisible by its digit sum 7.