The number 22001
22001 is a composite number with 6 divisors. Its prime factorisation is Ć 449. Divisors (6): 1, 7, 49, 449, 3143, 22001.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22001 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22001 is composite. Its prime factorisation is
- 3
The divisors add up to 25650; without 22001 itself that is 3649, so 22001 is deficient (3649 is less than 22001). Euler's totient Ļ(22001) = 18816 numbers up to 22001 share no factor with it.
- 4
The digits of 22001 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22001 = 7^{2} \times 449 \]22001 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 25650 |
| Euler totient Ļ(n) | 18816 |
| Square | 484044001 |
| Cube | 10649452066001 |
| Square root | 148.327341 (= 7ā449) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2001 Ć |
22001 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and one |
| Binary (base 2) | 101010111110001 |
| Octal (base 8) | 52761 |
| Hexadecimal (base 16) | 55F1 |
| Base 3 | 1010011212 |
| As time | 22001 seconds = 6 h 6 min 41 s |
Is 22001 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 1) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (22001 Ć· 7 = 3143) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22001 a prime number?
No. 22001 = Ć 449, so it is divisible by 7.
What are the factors of 22001?
1, 7, 49, 449, 3143, 22001.
What is 22001 in binary?
101010111110001 (hexadecimal 55F1, octal 52761).
What is the square root of 22001?
About 148.3273, exactly 7ā449.
Is 22001 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 22001?
It is a composite number with 6 divisors.