The number 23422
23422 is a composite number with 12 divisors. Its prime factorisation is 2 × × 239. Divisors (12): 1, 2, 7, 14, 49, 98, 239, 478, 1673, 3346, 11711, 23422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23422 is composite. Its prime factorisation is
- 3
The divisors add up to 41040; without 23422 itself that is 17618, so 23422 is deficient (17618 is less than 23422). Euler's totient φ(23422) = 9996 numbers up to 23422 share no factor with it.
- 4
The digits of 23422 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23422 = 2 \times 7^{2} \times 239 \]23422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 41040 |
| Euler totient φ(n) | 9996 |
| Square | 548590084 |
| Cube | 12849076947448 |
| Square root | 153.042478 (= 7√478) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3422 × |
23422 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and twenty-two |
| Binary (base 2) | 101101101111110 |
| Octal (base 8) | 55576 |
| Hexadecimal (base 16) | 5B7E |
| Base 3 | 1012010111 |
| As time | 23422 seconds = 6 h 30 min 22 s |
Is 23422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23422 ÷ 2 = 11711) | 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 (23422 ÷ 7 = 3346) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 3) | 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 23422 a prime number?
No. 23422 = 2 × × 239, so it is divisible by 2.
What are the factors of 23422?
1, 2, 7, 14, 49, 98, 239, 478, 1673, 3346, 11711, 23422.
What is 23422 in binary?
101101101111110 (hexadecimal 5B7E, octal 55576).
What is the square root of 23422?
About 153.0425, exactly 7√478.
Is 23422 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 23422?
It is a composite number with 12 divisors.