The number 11673
11673 is a composite number with 6 divisors. Its prime factorisation is × 1297. Divisors (6): 1, 3, 9, 1297, 3891, 11673.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11673 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11673 is composite. Its prime factorisation is
- 3
The divisors add up to 16874; without 11673 itself that is 5201, so 11673 is deficient (5201 is less than 11673). Euler's totient φ(11673) = 7776 numbers up to 11673 share no factor with it.
- 4
The digits of 11673 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 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11673 = 3^{2} \times 1297 \]11673 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 16874 |
| Euler totient φ(n) | 7776 |
| Square | 136258929 |
| Cube | 1590550478217 |
| Square root | 108.041659 (= 3√1297) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1673 × |
11673 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand six hundred and seventy-three |
| Binary (base 2) | 10110110011001 |
| Octal (base 8) | 26631 |
| Hexadecimal (base 16) | 2D99 |
| Base 3 | 121000100 |
| As time | 11673 seconds = 3 h 14 min 33 s |
Is 11673 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 (11673 ÷ 3 = 3891) | 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 3) | 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 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11673 ÷ 9 = 1297) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 11673 a prime number?
No. 11673 = × 1297, so it is divisible by 3.
What are the factors of 11673?
1, 3, 9, 1297, 3891, 11673.
What is 11673 in binary?
10110110011001 (hexadecimal 2D99, octal 26631).
What is the square root of 11673?
About 108.0417, exactly 3√1297.
Is 11673 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11673?
It is a composite number with 6 divisors.