The number 22004
22004 is a composite number with 6 divisors. Its prime factorisation is × 5501. Divisors (6): 1, 2, 4, 5501, 11002, 22004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22004 is composite. Its prime factorisation is
- 3
The divisors add up to 38514; without 22004 itself that is 16510, so 22004 is deficient (16510 is less than 22004). Euler's totient φ(22004) = 11000 numbers up to 22004 share no factor with it.
- 4
The digits of 22004 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22004 = 2^{2} \times 5501 \]22004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 38514 |
| Euler totient φ(n) | 11000 |
| Square | 484176016 |
| Cube | 10653809056064 |
| Square root | 148.337453 (= 2√5501) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2004 × |
22004 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and four |
| Binary (base 2) | 101010111110100 |
| Octal (base 8) | 52764 |
| Hexadecimal (base 16) | 55F4 |
| Base 3 | 1010011222 |
| As time | 22004 seconds = 6 h 6 min 44 s |
Is 22004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (22004 ÷ 2 = 11002) | 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 | Yes (22004 ÷ 4 = 5501) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 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 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22004 a prime number?
No. 22004 = × 5501, so it is divisible by 2.
What are the factors of 22004?
1, 2, 4, 5501, 11002, 22004.
What is 22004 in binary?
101010111110100 (hexadecimal 55F4, octal 52764).
What is the square root of 22004?
About 148.3375, exactly 2√5501.
Is 22004 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 22004?
It is a composite number with 6 divisors.