The number 17422
17422 is a composite number with 8 divisors. Its prime factorisation is 2 × 31 × 281. Divisors (8): 1, 2, 31, 62, 281, 562, 8711, 17422.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17422 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17422 is composite. Its prime factorisation is
- 3
The divisors add up to 27072; without 17422 itself that is 9650, so 17422 is deficient (9650 is less than 17422). Euler's totient φ(17422) = 8400 numbers up to 17422 share no factor with it.
- 4
The digits of 17422 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 110 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17422 = 2 \times 31 \times 281 \]
17422 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27072 |
| Euler totient φ(n) | 8400 |
| Square | 303526084 |
| Cube | 5288031435448 |
| Square root | 131.992424 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 110 |
| Scientific notation | 1.7422 × |
17422 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and twenty-two |
| Binary (base 2) | 100010000001110 |
| Octal (base 8) | 42016 |
| Hexadecimal (base 16) | 440E |
| Base 3 | 212220021 |
| As time | 17422 seconds = 4 h 50 min 22 s |
Is 17422 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17422 ÷ 2 = 8711) | 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 | No (remainder 6) | 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 7) | 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 9) | 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 17422 a prime number?
No. 17422 = 2 × 31 × 281, so it is divisible by 2.
What are the factors of 17422?
1, 2, 31, 62, 281, 562, 8711, 17422.
What is 17422 in binary?
100010000001110 (hexadecimal 440E, octal 42016).
What is the square root of 17422?
About 131.9924.
Is 17422 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 17422?
It is a composite number with 8 divisors.