The number 17320
17320 is a composite number with 16 divisors. Its prime factorisation is × 5 × 433. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 433, 866, 1732, 2165, 3464, 4330, 8660, 17320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17320 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17320 is composite. Its prime factorisation is
- 3
The divisors add up to 39060; without 17320 itself that is 21740, so 17320 is abundant (21740 is more than 17320). Euler's totient φ(17320) = 6912 numbers up to 17320 share no factor with it.
- 4
The digits of 17320 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17320 = 2^{3} \times 5 \times 433 \]17320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 39060 |
| Euler totient φ(n) | 6912 |
| Square | 299982400 |
| Cube | 5195695168000 |
| Square root | 131.605471 (= 2√4330) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.732 × |
17320 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand three hundred and twenty |
| Binary (base 2) | 100001110101000 |
| Octal (base 8) | 41650 |
| Hexadecimal (base 16) | 43A8 |
| Base 3 | 212202111 |
| As time | 17320 seconds = 4 h 48 min 40 s |
Is 17320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (17320 ÷ 2 = 8660) | 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 (17320 ÷ 4 = 4330) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (17320 ÷ 5 = 3464) | 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 2) | 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 | Yes (17320 ÷ 8 = 2165) | 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 | Yes (17320 ÷ 10 = 1732) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 17320 a prime number?
No. 17320 = × 5 × 433, so it is divisible by 2.
What are the factors of 17320?
1, 2, 4, 5, 8, 10, 20, 40, 433, 866, 1732, 2165, 3464, 4330, 8660, 17320.
What is 17320 in binary?
100001110101000 (hexadecimal 43A8, octal 41650).
What is the square root of 17320?
About 131.6055, exactly 2√4330.
Is 17320 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 17320?
It is a composite number with 16 divisors.