The number 1322
1322 is a composite number with 4 divisors. Its prime factorisation is 2 × 661. Divisors (4): 1, 2, 661, 1322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1322: a semiprime: 2 × 661, the product of two primes.
- 2
1322 is composite. Its prime factorisation is
- 3
The divisors add up to 1986; without 1322 itself that is 664, so 1322 is deficient (664 is less than 1322). Euler's totient φ(1322) = 660 numbers up to 1322 share no factor with it.
- 4
The digits of 1322 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1322 = 2 \times 661 \]
1322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1986 |
| Euler totient φ(n) | 660 |
| Square | 1747684 |
| Cube | 2310438248 |
| Square root | 36.359318 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 114 |
| Scientific notation | 1.322 × |
1322 in other forms
| Form | Value |
|---|---|
| In words | one thousand three hundred and twenty-two |
| Roman numerals | MCCCXXII |
| Binary (base 2) | 10100101010 |
| Octal (base 8) | 2452 |
| Hexadecimal (base 16) | 52A |
| Base 3 | 1210222 |
| As time | 1322 seconds = 22 min 2 s |
Is 1322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1322 ÷ 2 = 661) | 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 | 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 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 2) | 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 1322 a prime number?
No. 1322 = 2 × 661, so it is divisible by 2.
What are the factors of 1322?
1, 2, 661, 1322.
What is 1322 in binary?
10100101010 (hexadecimal 52A, octal 2452).
What is the square root of 1322?
About 36.3593.
What is 1322 in Roman numerals?
MCCCXXII.
Is 1322 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 1322?
1322 is a semiprime: 2 × 661, the product of two primes.