The number 11349
11349 is a composite number with 12 divisors. Its prime factorisation is × 13 × 97. Divisors (12): 1, 3, 9, 13, 39, 97, 117, 291, 873, 1261, 3783, 11349.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11349 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11349 is composite. Its prime factorisation is
- 3
The divisors add up to 17836; without 11349 itself that is 6487, so 11349 is deficient (6487 is less than 11349). Euler's totient φ(11349) = 6912 numbers up to 11349 share no factor with it.
- 4
The digits of 11349 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11349 = 3^{2} \times 13 \times 97 \]11349 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 17836 |
| Euler totient φ(n) | 6912 |
| Square | 128799801 |
| Cube | 1461748941549 |
| Square root | 106.531685 (= 3√1261) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.1349 × |
11349 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand three hundred and forty-nine |
| Binary (base 2) | 10110001010101 |
| Octal (base 8) | 26125 |
| Hexadecimal (base 16) | 2C55 |
| Base 3 | 120120100 |
| As time | 11349 seconds = 3 h 9 min 9 s |
Is 11349 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 | Yes (11349 ÷ 3 = 3783) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (11349 ÷ 9 = 1261) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11349 a prime number?
No. 11349 = × 13 × 97, so it is divisible by 3.
What are the factors of 11349?
1, 3, 9, 13, 39, 97, 117, 291, 873, 1261, 3783, 11349.
What is 11349 in binary?
10110001010101 (hexadecimal 2C55, octal 26125).
What is the square root of 11349?
About 106.5317, exactly 3√1261.
Is 11349 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11349?
It is a composite number with 12 divisors.