The number 18016
18016 is a composite number with 12 divisors. Its prime factorisation is × 563. Divisors (12): 1, 2, 4, 8, 16, 32, 563, 1126, 2252, 4504, 9008, 18016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18016: a Harshad number: divisible by its digit sum 16.
- 2
18016 is composite. Its prime factorisation is
- 3
The divisors add up to 35532; without 18016 itself that is 17516, so 18016 is deficient (17516 is less than 18016). Euler's totient φ(18016) = 8992 numbers up to 18016 share no factor with it.
- 4
The digits of 18016 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18016 = 2^{5} \times 563 \]18016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 35532 |
| Euler totient φ(n) | 8992 |
| Square | 324576256 |
| Cube | 5847565828096 |
| Square root | 134.223694 (= 4√1126) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.8016 × |
18016 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and sixteen |
| Binary (base 2) | 100011001100000 |
| Octal (base 8) | 43140 |
| Hexadecimal (base 16) | 4660 |
| Base 3 | 220201021 |
| As time | 18016 seconds = 5 h 0 min 16 s |
Is 18016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18016 ÷ 2 = 9008) | 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 (18016 ÷ 4 = 4504) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 | Yes (18016 ÷ 8 = 2252) | 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 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 18016 a prime number?
No. 18016 = × 563, so it is divisible by 2.
What are the factors of 18016?
1, 2, 4, 8, 16, 32, 563, 1126, 2252, 4504, 9008, 18016.
What is 18016 in binary?
100011001100000 (hexadecimal 4660, octal 43140).
What is the square root of 18016?
About 134.2237, exactly 4√1126.
Is 18016 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 18016?
18016 is a Harshad number: divisible by its digit sum 16.