The number 11016
11016 is a composite number with 40 divisors. Its prime factorisation is × × 17. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54 … 11016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11016: a Harshad number: divisible by its digit sum 9.
- 2
11016 is composite. Its prime factorisation is
- 3
The divisors add up to 32670; without 11016 itself that is 21654, so 11016 is abundant (21654 is more than 11016). Euler's totient φ(11016) = 3456 numbers up to 11016 share no factor with it.
- 4
The digits of 11016 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11016 = 2^{3} \times 3^{4} \times 17 \]11016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 32670 |
| Euler totient φ(n) | 3456 |
| Square | 121352256 |
| Cube | 1336816452096 |
| Square root | 104.957134 (= 18√34) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 161 |
| Scientific notation | 1.1016 × |
11016 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and sixteen |
| Binary (base 2) | 10101100001000 |
| Octal (base 8) | 25410 |
| Hexadecimal (base 16) | 2B08 |
| Base 3 | 120010000 |
| As time | 11016 seconds = 3 h 3 min 36 s |
Is 11016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11016 ÷ 2 = 5508) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11016 ÷ 3 = 3672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11016 ÷ 4 = 2754) | 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 | Yes (11016 ÷ 6 = 1836) | 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 (11016 ÷ 8 = 1377) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11016 ÷ 9 = 1224) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11016 ÷ 12 = 918) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11016 a prime number?
No. 11016 = × × 17, so it is divisible by 2.
What are the factors of 11016?
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 27, 34, 36, 51, 54, 68, 72, 81, 102, 108, 136, 153, 162, 204, 216, 306, 324, 408, 459, 612, 648, 918, 1224, 1377, 1836, 2754, 3672, 5508, 11016.
What is 11016 in binary?
10101100001000 (hexadecimal 2B08, octal 25410).
What is the square root of 11016?
About 104.9571, exactly 18√34.
Is 11016 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 11016?
11016 is a Harshad number: divisible by its digit sum 9.