The number 11367
11367 is a composite number with 8 divisors. Its prime factorisation is × 421. Divisors (8): 1, 3, 9, 27, 421, 1263, 3789, 11367.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11367 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11367 is composite. Its prime factorisation is
- 3
The divisors add up to 16880; without 11367 itself that is 5513, so 11367 is deficient (5513 is less than 11367). Euler's totient φ(11367) = 7560 numbers up to 11367 share no factor with it.
- 4
The digits of 11367 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11367 = 3^{3} \times 421 \]11367 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 16880 |
| Euler totient φ(n) | 7560 |
| Square | 129208689 |
| Cube | 1468715167863 |
| Square root | 106.616134 (= 3√1263) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.1367 × |
11367 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand three hundred and sixty-seven |
| Binary (base 2) | 10110001100111 |
| Octal (base 8) | 26147 |
| Hexadecimal (base 16) | 2C67 |
| Base 3 | 120121000 |
| As time | 11367 seconds = 3 h 9 min 27 s |
Is 11367 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 (11367 ÷ 3 = 3789) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 6) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11367 ÷ 9 = 1263) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11367 a prime number?
No. 11367 = × 421, so it is divisible by 3.
What are the factors of 11367?
1, 3, 9, 27, 421, 1263, 3789, 11367.
What is 11367 in binary?
10110001100111 (hexadecimal 2C67, octal 26147).
What is the square root of 11367?
About 106.6161, exactly 3√1263.
Is 11367 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11367?
It is a composite number with 8 divisors.