The number 11509
11509 is a composite number with 4 divisors. Its prime factorisation is 17 × 677. Divisors (4): 1, 17, 677, 11509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11509: a semiprime: 17 × 677, the product of two primes.
- 2
11509 is composite. Its prime factorisation is
- 3
The divisors add up to 12204; without 11509 itself that is 695, so 11509 is deficient (695 is less than 11509). Euler's totient φ(11509) = 10816 numbers up to 11509 share no factor with it.
- 4
The digits of 11509 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11509 = 17 \times 677 \]
11509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12204 |
| Euler totient φ(n) | 10816 |
| Square | 132457081 |
| Cube | 1524448545229 |
| Square root | 107.280007 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 1.1509 × |
11509 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand five hundred and nine |
| Binary (base 2) | 10110011110101 |
| Octal (base 8) | 26365 |
| Hexadecimal (base 16) | 2CF5 |
| Base 3 | 120210021 |
| As time | 11509 seconds = 3 h 11 min 49 s |
Is 11509 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 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11509 a prime number?
No. 11509 = 17 × 677, so it is divisible by 17.
What are the factors of 11509?
1, 17, 677, 11509.
What is 11509 in binary?
10110011110101 (hexadecimal 2CF5, octal 26365).
What is the square root of 11509?
About 107.2800.
Is 11509 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11509?
11509 is a semiprime: 17 × 677, the product of two primes.