The number 16218
16218 is a composite number with 24 divisors. Its prime factorisation is 2 × × 17 × 53. Divisors (24): 1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318 … 16218.
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How to work it out
- 1
What is special about 16218: a Harshad number: divisible by its digit sum 18.
- 2
16218 is composite. Its prime factorisation is
- 3
The divisors add up to 37908; without 16218 itself that is 21690, so 16218 is abundant (21690 is more than 16218). Euler's totient φ(16218) = 4992 numbers up to 16218 share no factor with it.
- 4
The digits of 16218 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 159 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16218 = 2 \times 3^{2} \times 17 \times 53 \]16218 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 37908 |
| Euler totient φ(n) | 4992 |
| Square | 263023524 |
| Cube | 4265715512232 |
| Square root | 127.349912 (= 3√1802) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 159 |
| Scientific notation | 1.6218 × |
16218 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand two hundred and eighteen |
| Binary (base 2) | 11111101011010 |
| Octal (base 8) | 37532 |
| Hexadecimal (base 16) | 3F5A |
| Base 3 | 211020200 |
| As time | 16218 seconds = 4 h 30 min 18 s |
Is 16218 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16218 ÷ 2 = 8109) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16218 ÷ 3 = 5406) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16218 ÷ 6 = 2703) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (16218 ÷ 9 = 1802) | 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 4) | 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 16218 a prime number?
No. 16218 = 2 × × 17 × 53, so it is divisible by 2.
What are the factors of 16218?
1, 2, 3, 6, 9, 17, 18, 34, 51, 53, 102, 106, 153, 159, 306, 318, 477, 901, 954, 1802, 2703, 5406, 8109, 16218.
What is 16218 in binary?
11111101011010 (hexadecimal 3F5A, octal 37532).
What is the square root of 16218?
About 127.3499, exactly 3√1802.
Is 16218 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 16218?
16218 is a Harshad number: divisible by its digit sum 18.