The number 12022
12022 is a composite number with 4 divisors. Its prime factorisation is 2 × 6011. Divisors (4): 1, 2, 6011, 12022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12022: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6011, the product of two primes.
- 2
12022 is composite. Its prime factorisation is
- 3
The divisors add up to 18036; without 12022 itself that is 6014, so 12022 is deficient (6014 is less than 12022). Euler's totient φ(12022) = 6010 numbers up to 12022 share no factor with it.
- 4
The digits of 12022 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12022 = 2 \times 6011 \]
12022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 18036 |
| Euler totient φ(n) | 6010 |
| Square | 144528484 |
| Cube | 1737521434648 |
| Square root | 109.644881 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.2022 × |
12022 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and twenty-two |
| Binary (base 2) | 10111011110110 |
| Octal (base 8) | 27366 |
| Hexadecimal (base 16) | 2EF6 |
| Base 3 | 121111021 |
| As time | 12022 seconds = 3 h 20 min 22 s |
Is 12022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12022 ÷ 2 = 6011) | 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 3) | 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 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 10) | 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 12022 a prime number?
No. 12022 = 2 × 6011, so it is divisible by 2.
What are the factors of 12022?
1, 2, 6011, 12022.
What is 12022 in binary?
10111011110110 (hexadecimal 2EF6, octal 27366).
What is the square root of 12022?
About 109.6449.
Is 12022 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 12022?
12022 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6011, the product of two primes.