The number 22021
22021 is a composite number with 6 divisors. Its prime factorisation is Ć 61. Divisors (6): 1, 19, 61, 361, 1159, 22021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22021: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
22021 is composite. Its prime factorisation is
- 3
The divisors add up to 23622; without 22021 itself that is 1601, so 22021 is deficient (1601 is less than 22021). Euler's totient Ļ(22021) = 20520 numbers up to 22021 share no factor with it.
- 4
The digits of 22021 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 193 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22021 = 19^{2} \times 61 \]22021 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23622 |
| Euler totient Ļ(n) | 20520 |
| Square | 484924441 |
| Cube | 10678521115261 |
| Square root | 148.394744 (= 19ā61) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 193 |
| Scientific notation | 2.2021 Ć |
22021 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand and twenty-one |
| Binary (base 2) | 101011000000101 |
| Octal (base 8) | 53005 |
| Hexadecimal (base 16) | 5605 |
| Base 3 | 1010012121 |
| As time | 22021 seconds = 6 h 7 min 1 s |
Is 22021 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 5) | 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 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 22021 a prime number?
No. 22021 = Ć 61, so it is divisible by 19.
What are the factors of 22021?
1, 19, 61, 361, 1159, 22021.
What is 22021 in binary?
101011000000101 (hexadecimal 5605, octal 53005).
What is the square root of 22021?
About 148.3947, exactly 19ā61.
Is 22021 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 22021?
22021 is a happy number: repeatedly adding the squares of its digits reaches 1.