The number 22421
22421 is a composite number with 4 divisors. Its prime factorisation is 7 × 3203. Divisors (4): 1, 7, 3203, 22421.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 22421: a semiprime: 7 × 3203, the product of two primes.
- 2
22421 is composite. Its prime factorisation is
- 3
The divisors add up to 25632; without 22421 itself that is 3211, so 22421 is deficient (3211 is less than 22421). Euler's totient φ(22421) = 19212 numbers up to 22421 share no factor with it.
- 4
The digits of 22421 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22421 = 7 \times 3203 \]
22421 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 25632 |
| Euler totient φ(n) | 19212 |
| Square | 502701241 |
| Cube | 11271064524461 |
| Square root | 149.736435 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.2421 × |
22421 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand four hundred and twenty-one |
| Binary (base 2) | 101011110010101 |
| Octal (base 8) | 53625 |
| Hexadecimal (base 16) | 5795 |
| Base 3 | 1010202102 |
| As time | 22421 seconds = 6 h 13 min 41 s |
Is 22421 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 (22421 ÷ 7 = 3203) | 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 2) | 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 3) | 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 22421 a prime number?
No. 22421 = 7 × 3203, so it is divisible by 7.
What are the factors of 22421?
1, 7, 3203, 22421.
What is 22421 in binary?
101011110010101 (hexadecimal 5795, octal 53625).
What is the square root of 22421?
About 149.7364.
Is 22421 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 22421?
22421 is a semiprime: 7 × 3203, the product of two primes.