The number 17428
17428 is a composite number with 6 divisors. Its prime factorisation is × 4357. Divisors (6): 1, 2, 4, 4357, 8714, 17428.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17428 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17428 is composite. Its prime factorisation is
- 3
The divisors add up to 30506; without 17428 itself that is 13078, so 17428 is deficient (13078 is less than 17428). Euler's totient φ(17428) = 8712 numbers up to 17428 share no factor with it.
- 4
The digits of 17428 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17428 = 2^{2} \times 4357 \]17428 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 30506 |
| Euler totient φ(n) | 8712 |
| Square | 303735184 |
| Cube | 5293496786752 |
| Square root | 132.015151 (= 2√4357) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7428 × |
17428 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand four hundred and twenty-eight |
| Binary (base 2) | 100010000010100 |
| Octal (base 8) | 42024 |
| Hexadecimal (base 16) | 4414 |
| Base 3 | 212220111 |
| As time | 17428 seconds = 4 h 50 min 28 s |
Is 17428 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17428 ÷ 2 = 8714) | 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 | Yes (17428 ÷ 4 = 4357) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 4) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17428 a prime number?
No. 17428 = × 4357, so it is divisible by 2.
What are the factors of 17428?
1, 2, 4, 4357, 8714, 17428.
What is 17428 in binary?
100010000010100 (hexadecimal 4414, octal 42024).
What is the square root of 17428?
About 132.0152, exactly 2√4357.
Is 17428 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 17428?
It is a composite number with 6 divisors.