The number 11996
11996 is a composite number with 6 divisors. Its prime factorisation is × 2999. Divisors (6): 1, 2, 4, 2999, 5998, 11996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11996 is composite. Its prime factorisation is
- 3
The divisors add up to 21000; without 11996 itself that is 9004, so 11996 is deficient (9004 is less than 11996). Euler's totient φ(11996) = 5996 numbers up to 11996 share no factor with it.
- 4
The digits of 11996 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11996 = 2^{2} \times 2999 \]11996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 21000 |
| Euler totient φ(n) | 5996 |
| Square | 143904016 |
| Cube | 1726272575936 |
| Square root | 109.526253 (= 2√2999) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1996 × |
11996 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and ninety-six |
| Binary (base 2) | 10111011011100 |
| Octal (base 8) | 27334 |
| Hexadecimal (base 16) | 2EDC |
| Base 3 | 121110022 |
| As time | 11996 seconds = 3 h 19 min 56 s |
Is 11996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11996 ÷ 2 = 5998) | 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 | Yes (11996 ÷ 4 = 2999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11996 a prime number?
No. 11996 = × 2999, so it is divisible by 2.
What are the factors of 11996?
1, 2, 4, 2999, 5998, 11996.
What is 11996 in binary?
10111011011100 (hexadecimal 2EDC, octal 27334).
What is the square root of 11996?
About 109.5263, exactly 2√2999.
Is 11996 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 11996?
It is a composite number with 6 divisors.