The number 23322
23322 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 23. Divisors (24): 1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 169, 299, 338, 507 … 23322.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23322 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23322 is composite. Its prime factorisation is
- 3
The divisors add up to 52704; without 23322 itself that is 29382, so 23322 is abundant (29382 is more than 23322). Euler's totient φ(23322) = 6864 numbers up to 23322 share no factor with it.
- 4
The digits of 23322 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23322 = 2 \times 3 \times 13^{2} \times 23 \]23322 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52704 |
| Euler totient φ(n) | 6864 |
| Square | 543915684 |
| Cube | 12685201582248 |
| Square root | 152.715422 (= 13√138) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.3322 × |
23322 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and twenty-two |
| Binary (base 2) | 101101100011010 |
| Octal (base 8) | 55432 |
| Hexadecimal (base 16) | 5B1A |
| Base 3 | 1011222210 |
| As time | 23322 seconds = 6 h 28 min 42 s |
Is 23322 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23322 ÷ 2 = 11661) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (23322 ÷ 3 = 7774) | 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 | Yes (23322 ÷ 6 = 3887) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23322 a prime number?
No. 23322 = 2 × 3 × × 23, so it is divisible by 2.
What are the factors of 23322?
1, 2, 3, 6, 13, 23, 26, 39, 46, 69, 78, 138, 169, 299, 338, 507, 598, 897, 1014, 1794, 3887, 7774, 11661, 23322.
What is 23322 in binary?
101101100011010 (hexadecimal 5B1A, octal 55432).
What is the square root of 23322?
About 152.7154, exactly 13√138.
Is 23322 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 23322?
It is a composite number with 24 divisors.