The number 22121
22121 is a composite number with 4 divisors. Its prime factorisation is 11 × 2011. Divisors (4): 1, 11, 2011, 22121.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22121: a semiprime: 11 × 2011, the product of two primes.
- 2
22121 is composite. Its prime factorisation is
- 3
The divisors add up to 24144; without 22121 itself that is 2023, so 22121 is deficient (2023 is less than 22121). Euler's totient φ(22121) = 20100 numbers up to 22121 share no factor with it.
- 4
The digits of 22121 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 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22121 = 11 \times 2011 \]
22121 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 24144 |
| Euler totient φ(n) | 20100 |
| Square | 489338641 |
| Cube | 10824660077561 |
| Square root | 148.731301 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.2121 × |
22121 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand one hundred and twenty-one |
| Binary (base 2) | 101011001101001 |
| Octal (base 8) | 53151 |
| Hexadecimal (base 16) | 5669 |
| Base 3 | 1010100022 |
| As time | 22121 seconds = 6 h 8 min 41 s |
Is 22121 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 | No (remainder 1) | 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 8) | 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 | Yes (22121 ÷ 11 = 2011) | 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 22121 a prime number?
No. 22121 = 11 × 2011, so it is divisible by 11.
What are the factors of 22121?
1, 11, 2011, 22121.
What is 22121 in binary?
101011001101001 (hexadecimal 5669, octal 53151).
What is the square root of 22121?
About 148.7313.
Is 22121 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 22121?
22121 is a semiprime: 11 × 2011, the product of two primes.