The number 11008
11008 is a composite number with 18 divisors. Its prime factorisation is × 43. Divisors (18): 1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 688, 1376, 2752 … 11008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11008 is composite. Its prime factorisation is
- 3
The divisors add up to 22484; without 11008 itself that is 11476, so 11008 is abundant (11476 is more than 11008). Euler's totient φ(11008) = 5376 numbers up to 11008 share no factor with it.
- 4
The digits of 11008 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11008 = 2^{8} \times 43 \]11008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 22484 |
| Euler totient φ(n) | 5376 |
| Square | 121176064 |
| Cube | 1333906112512 |
| Square root | 104.919016 (= 16√43) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1008 × |
11008 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and eight |
| Binary (base 2) | 10101100000000 |
| Octal (base 8) | 25400 |
| Hexadecimal (base 16) | 2B00 |
| Base 3 | 120002201 |
| As time | 11008 seconds = 3 h 3 min 28 s |
Is 11008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11008 ÷ 2 = 5504) | 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 (11008 ÷ 4 = 2752) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (11008 ÷ 8 = 1376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 11008 a prime number?
No. 11008 = × 43, so it is divisible by 2.
What are the factors of 11008?
1, 2, 4, 8, 16, 32, 43, 64, 86, 128, 172, 256, 344, 688, 1376, 2752, 5504, 11008.
What is 11008 in binary?
10101100000000 (hexadecimal 2B00, octal 25400).
What is the square root of 11008?
About 104.9190, exactly 16√43.
Is 11008 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11008?
It is a composite number with 18 divisors.