The number 13322
13322 is a composite number with 4 divisors. Its prime factorisation is 2 × 6661. Divisors (4): 1, 2, 6661, 13322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13322: a semiprime: 2 × 6661, the product of two primes.
- 2
13322 is composite. Its prime factorisation is
- 3
The divisors add up to 19986; without 13322 itself that is 6664, so 13322 is deficient (6664 is less than 13322). Euler's totient φ(13322) = 6660 numbers up to 13322 share no factor with it.
- 4
The digits of 13322 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13322 = 2 \times 6661 \]
13322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 19986 |
| Euler totient φ(n) | 6660 |
| Square | 177475684 |
| Cube | 2364331062248 |
| Square root | 115.420969 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3322 × |
13322 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and twenty-two |
| Binary (base 2) | 11010000001010 |
| Octal (base 8) | 32012 |
| Hexadecimal (base 16) | 340A |
| Base 3 | 200021102 |
| As time | 13322 seconds = 3 h 42 min 2 s |
Is 13322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13322 ÷ 2 = 6661) | 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 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13322 a prime number?
No. 13322 = 2 × 6661, so it is divisible by 2.
What are the factors of 13322?
1, 2, 6661, 13322.
What is 13322 in binary?
11010000001010 (hexadecimal 340A, octal 32012).
What is the square root of 13322?
About 115.4210.
Is 13322 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 13322?
13322 is a semiprime: 2 × 6661, the product of two primes.