The number 21322
21322 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 1523. Divisors (8): 1, 2, 7, 14, 1523, 3046, 10661, 21322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
21322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
21322 is composite. Its prime factorisation is
- 3
The divisors add up to 36576; without 21322 itself that is 15254, so 21322 is deficient (15254 is less than 21322). Euler's totient φ(21322) = 9132 numbers up to 21322 share no factor with it.
- 4
The digits of 21322 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 21322 = 2 \times 7 \times 1523 \]
21322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 36576 |
| Euler totient φ(n) | 9132 |
| Square | 454627684 |
| Cube | 9693571478248 |
| Square root | 146.020546 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.1322 × |
21322 in other forms
| Form | Value |
|---|---|
| In words | twenty-one thousand three hundred and twenty-two |
| Binary (base 2) | 101001101001010 |
| Octal (base 8) | 51512 |
| Hexadecimal (base 16) | 534A |
| Base 3 | 1002020201 |
| As time | 21322 seconds = 5 h 55 min 22 s |
Is 21322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (21322 ÷ 2 = 10661) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (21322 ÷ 7 = 3046) | 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 2) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 21322 a prime number?
No. 21322 = 2 × 7 × 1523, so it is divisible by 2.
What are the factors of 21322?
1, 2, 7, 14, 1523, 3046, 10661, 21322.
What is 21322 in binary?
101001101001010 (hexadecimal 534A, octal 51512).
What is the square root of 21322?
About 146.0205.
Is 21322 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 21322?
It is a composite number with 8 divisors.