The number 16730
16730 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 239. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 239, 478, 1195, 1673, 2390, 3346, 8365, 16730.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16730 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16730 is composite. Its prime factorisation is
- 3
The divisors add up to 34560; without 16730 itself that is 17830, so 16730 is abundant (17830 is more than 16730). Euler's totient φ(16730) = 5712 numbers up to 16730 share no factor with it.
- 4
The digits of 16730 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16730 = 2 \times 5 \times 7 \times 239 \]
16730 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34560 |
| Euler totient φ(n) | 5712 |
| Square | 279892900 |
| Cube | 4682608217000 |
| Square root | 129.344501 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 40 |
| Scientific notation | 1.673 × |
16730 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand seven hundred and thirty |
| Binary (base 2) | 100000101011010 |
| Octal (base 8) | 40532 |
| Hexadecimal (base 16) | 415A |
| Base 3 | 211221122 |
| As time | 16730 seconds = 4 h 38 min 50 s |
Is 16730 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16730 ÷ 2 = 8365) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | Yes (16730 ÷ 5 = 3346) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (16730 ÷ 7 = 2390) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16730 ÷ 10 = 1673) | 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 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16730 a prime number?
No. 16730 = 2 × 5 × 7 × 239, so it is divisible by 2.
What are the factors of 16730?
1, 2, 5, 7, 10, 14, 35, 70, 239, 478, 1195, 1673, 2390, 3346, 8365, 16730.
What is 16730 in binary?
100000101011010 (hexadecimal 415A, octal 40532).
What is the square root of 16730?
About 129.3445.
Is 16730 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 16730?
It is a composite number with 16 divisors.