The number 17148
17148 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1429. Divisors (12): 1, 2, 3, 4, 6, 12, 1429, 2858, 4287, 5716, 8574, 17148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17148 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17148 is composite. Its prime factorisation is
- 3
The divisors add up to 40040; without 17148 itself that is 22892, so 17148 is abundant (22892 is more than 17148). Euler's totient φ(17148) = 5712 numbers up to 17148 share no factor with it.
- 4
The digits of 17148 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 128 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17148 = 2^{2} \times 3 \times 1429 \]17148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 40040 |
| Euler totient φ(n) | 5712 |
| Square | 294053904 |
| Cube | 5042436345792 |
| Square root | 130.950372 (= 2√4287) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 128 |
| Scientific notation | 1.7148 × |
17148 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand one hundred and forty-eight |
| Binary (base 2) | 100001011111100 |
| Octal (base 8) | 41374 |
| Hexadecimal (base 16) | 42FC |
| Base 3 | 212112010 |
| As time | 17148 seconds = 4 h 45 min 48 s |
Is 17148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17148 ÷ 2 = 8574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (17148 ÷ 3 = 5716) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (17148 ÷ 4 = 4287) | 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 | Yes (17148 ÷ 6 = 2858) | 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 3) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (17148 ÷ 12 = 1429) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 17148 a prime number?
No. 17148 = × 3 × 1429, so it is divisible by 2.
What are the factors of 17148?
1, 2, 3, 4, 6, 12, 1429, 2858, 4287, 5716, 8574, 17148.
What is 17148 in binary?
100001011111100 (hexadecimal 42FC, octal 41374).
What is the square root of 17148?
About 130.9504, exactly 2√4287.
Is 17148 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 17148?
It is a composite number with 12 divisors.