The number 16180
16180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 809. Divisors (12): 1, 2, 4, 5, 10, 20, 809, 1618, 3236, 4045, 8090, 16180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16180 is composite. Its prime factorisation is
- 3
The divisors add up to 34020; without 16180 itself that is 17840, so 16180 is abundant (17840 is more than 16180). Euler's totient φ(16180) = 6464 numbers up to 16180 share no factor with it.
- 4
The digits of 16180 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 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16180 = 2^{2} \times 5 \times 809 \]16180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 34020 |
| Euler totient φ(n) | 6464 |
| Square | 261792400 |
| Cube | 4235801032000 |
| Square root | 127.200629 (= 2√4045) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.618 × |
16180 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and eighty |
| Binary (base 2) | 11111100110100 |
| Octal (base 8) | 37464 |
| Hexadecimal (base 16) | 3F34 |
| Base 3 | 211012021 |
| As time | 16180 seconds = 4 h 29 min 40 s |
Is 16180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16180 ÷ 2 = 8090) | 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 (16180 ÷ 4 = 4045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16180 ÷ 5 = 3236) | 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 3) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16180 ÷ 10 = 1618) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16180 a prime number?
No. 16180 = × 5 × 809, so it is divisible by 2.
What are the factors of 16180?
1, 2, 4, 5, 10, 20, 809, 1618, 3236, 4045, 8090, 16180.
What is 16180 in binary?
11111100110100 (hexadecimal 3F34, octal 37464).
What is the square root of 16180?
About 127.2006, exactly 2√4045.
Is 16180 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16180?
It is a composite number with 12 divisors.