The number 11993
11993 is a composite number with 4 divisors. Its prime factorisation is 67 × 179. Divisors (4): 1, 67, 179, 11993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11993: a semiprime: 67 × 179, the product of two primes.
- 2
11993 is composite. Its prime factorisation is
- 3
The divisors add up to 12240; without 11993 itself that is 247, so 11993 is deficient (247 is less than 11993). Euler's totient φ(11993) = 11748 numbers up to 11993 share no factor with it.
- 4
The digits of 11993 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11993 = 67 \times 179 \]
11993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12240 |
| Euler totient φ(n) | 11748 |
| Square | 143832049 |
| Cube | 1724977763657 |
| Square root | 109.512556 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1993 × |
11993 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and ninety-three |
| Binary (base 2) | 10111011011001 |
| Octal (base 8) | 27331 |
| Hexadecimal (base 16) | 2ED9 |
| Base 3 | 121110012 |
| As time | 11993 seconds = 3 h 19 min 53 s |
Is 11993 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 3) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 11993 a prime number?
No. 11993 = 67 × 179, so it is divisible by 67.
What are the factors of 11993?
1, 67, 179, 11993.
What is 11993 in binary?
10111011011001 (hexadecimal 2ED9, octal 27331).
What is the square root of 11993?
About 109.5126.
Is 11993 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 11993?
11993 is a semiprime: 67 × 179, the product of two primes.