The number 11009
11009 is a composite number with 4 divisors. Its prime factorisation is 101 × 109. Divisors (4): 1, 101, 109, 11009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11009: a semiprime: 101 × 109, the product of two primes.
- 2
11009 is composite. Its prime factorisation is
- 3
The divisors add up to 11220; without 11009 itself that is 211, so 11009 is deficient (211 is less than 11009). Euler's totient φ(11009) = 10800 numbers up to 11009 share no factor with it.
- 4
The digits of 11009 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 192 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11009 = 101 \times 109 \]
11009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 11220 |
| Euler totient φ(n) | 10800 |
| Square | 121198081 |
| Cube | 1334269673729 |
| Square root | 104.923782 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 192 |
| Scientific notation | 1.1009 × |
11009 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and nine |
| Binary (base 2) | 10101100000001 |
| Octal (base 8) | 25401 |
| Hexadecimal (base 16) | 2B01 |
| Base 3 | 120002202 |
| As time | 11009 seconds = 3 h 3 min 29 s |
Is 11009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11009 a prime number?
No. 11009 = 101 × 109, so it is divisible by 101.
What are the factors of 11009?
1, 101, 109, 11009.
What is 11009 in binary?
10101100000001 (hexadecimal 2B01, octal 25401).
What is the square root of 11009?
About 104.9238.
Is 11009 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 11009?
11009 is a semiprime: 101 × 109, the product of two primes.