The number 22006
22006 is a composite number with 4 divisors. Its prime factorisation is 2 × 11003. Divisors (4): 1, 2, 11003, 22006.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22006: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 11003, the product of two primes.
- 2
22006 is composite. Its prime factorisation is
- 3
The divisors add up to 33012; without 22006 itself that is 11006, so 22006 is deficient (11006 is less than 22006). Euler's totient φ(22006) = 11002 numbers up to 22006 share no factor with it.
- 4
The digits of 22006 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 74 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22006 = 2 \times 11003 \]
22006 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 33012 |
| Euler totient φ(n) | 11002 |
| Square | 484264036 |
| Cube | 10656714376216 |
| Square root | 148.344194 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 74 |
| Scientific notation | 2.2006 × |
22006 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and six |
| Binary (base 2) | 101010111110110 |
| Octal (base 8) | 52766 |
| Hexadecimal (base 16) | 55F6 |
| Base 3 | 1010012001 |
| As time | 22006 seconds = 6 h 6 min 46 s |
Is 22006 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22006 ÷ 2 = 11003) | 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 1) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 22006 a prime number?
No. 22006 = 2 × 11003, so it is divisible by 2.
What are the factors of 22006?
1, 2, 11003, 22006.
What is 22006 in binary?
101010111110110 (hexadecimal 55F6, octal 52766).
What is the square root of 22006?
About 148.3442.
Is 22006 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22006?
22006 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 11003, the product of two primes.