The number 22321
22321 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 101. Divisors (8): 1, 13, 17, 101, 221, 1313, 1717, 22321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
22321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
22321 is composite. Its prime factorisation is
- 3
The divisors add up to 25704; without 22321 itself that is 3383, so 22321 is deficient (3383 is less than 22321). Euler's totient φ(22321) = 19200 numbers up to 22321 share no factor with it.
- 4
The digits of 22321 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 22321 = 13 \times 17 \times 101 \]
22321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25704 |
| Euler totient φ(n) | 19200 |
| Square | 498227041 |
| Cube | 11120925782161 |
| Square root | 149.402142 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.2321 × |
22321 in other forms
| Form | Value |
|---|---|
| In words | twenty-two thousand three hundred and twenty-one |
| Binary (base 2) | 101011100110001 |
| Octal (base 8) | 53461 |
| Hexadecimal (base 16) | 5731 |
| Base 3 | 1010121201 |
| As time | 22321 seconds = 6 h 12 min 1 s |
Is 22321 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 5) | 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 1) | 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 2) | 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 22321 a prime number?
No. 22321 = 13 × 17 × 101, so it is divisible by 13.
What are the factors of 22321?
1, 13, 17, 101, 221, 1313, 1717, 22321.
What is 22321 in binary?
101011100110001 (hexadecimal 5731, octal 53461).
What is the square root of 22321?
About 149.4021.
Is 22321 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 22321?
It is a composite number with 8 divisors.