The number 13022
13022 is a composite number with 8 divisors. Its prime factorisation is 2 × 17 × 383. Divisors (8): 1, 2, 17, 34, 383, 766, 6511, 13022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13022 is composite. Its prime factorisation is
- 3
The divisors add up to 20736; without 13022 itself that is 7714, so 13022 is deficient (7714 is less than 13022). Euler's totient φ(13022) = 6112 numbers up to 13022 share no factor with it.
- 4
The digits of 13022 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13022 = 2 \times 17 \times 383 \]
13022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20736 |
| Euler totient φ(n) | 6112 |
| Square | 169572484 |
| Cube | 2208172886648 |
| Square root | 114.113978 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3022 × |
13022 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twenty-two |
| Binary (base 2) | 11001011011110 |
| Octal (base 8) | 31336 |
| Hexadecimal (base 16) | 32DE |
| Base 3 | 122212022 |
| As time | 13022 seconds = 3 h 37 min 2 s |
Is 13022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13022 ÷ 2 = 6511) | 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 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 6) | 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 9) | 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 13022 a prime number?
No. 13022 = 2 × 17 × 383, so it is divisible by 2.
What are the factors of 13022?
1, 2, 17, 34, 383, 766, 6511, 13022.
What is 13022 in binary?
11001011011110 (hexadecimal 32DE, octal 31336).
What is the square root of 13022?
About 114.1140.
Is 13022 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 13022?
It is a composite number with 8 divisors.