The number 16182
16182 is a composite number with 24 divisors. Its prime factorisation is 2 × × 29 × 31. Divisors (24): 1, 2, 3, 6, 9, 18, 29, 31, 58, 62, 87, 93, 174, 186, 261, 279 … 16182.
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How to work it out
- 1
What is special about 16182: a Harshad number: divisible by its digit sum 18.
- 2
16182 is composite. Its prime factorisation is
- 3
The divisors add up to 37440; without 16182 itself that is 21258, so 16182 is abundant (21258 is more than 16182). Euler's totient φ(16182) = 5040 numbers up to 16182 share no factor with it.
- 4
The digits of 16182 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16182 = 2 \times 3^{2} \times 29 \times 31 \]16182 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 37440 |
| Euler totient φ(n) | 5040 |
| Square | 261857124 |
| Cube | 4237371980568 |
| Square root | 127.208490 (= 3√1798) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.6182 × |
16182 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and eighty-two |
| Binary (base 2) | 11111100110110 |
| Octal (base 8) | 37466 |
| Hexadecimal (base 16) | 3F36 |
| Base 3 | 211012100 |
| As time | 16182 seconds = 4 h 29 min 42 s |
Is 16182 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16182 ÷ 2 = 8091) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16182 ÷ 3 = 5394) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16182 ÷ 6 = 2697) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (16182 ÷ 9 = 1798) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16182 a prime number?
No. 16182 = 2 × × 29 × 31, so it is divisible by 2.
What are the factors of 16182?
1, 2, 3, 6, 9, 18, 29, 31, 58, 62, 87, 93, 174, 186, 261, 279, 522, 558, 899, 1798, 2697, 5394, 8091, 16182.
What is 16182 in binary?
11111100110110 (hexadecimal 3F36, octal 37466).
What is the square root of 16182?
About 127.2085, exactly 3√1798.
Is 16182 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16182?
16182 is a Harshad number: divisible by its digit sum 18.