The number 11964
11964 is a composite number with 12 divisors. Its prime factorisation is × 3 × 997. Divisors (12): 1, 2, 3, 4, 6, 12, 997, 1994, 2991, 3988, 5982, 11964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11964 is composite. Its prime factorisation is
- 3
The divisors add up to 27944; without 11964 itself that is 15980, so 11964 is abundant (15980 is more than 11964). Euler's totient φ(11964) = 3984 numbers up to 11964 share no factor with it.
- 4
The digits of 11964 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11964 = 2^{2} \times 3 \times 997 \]11964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 27944 |
| Euler totient φ(n) | 3984 |
| Square | 143137296 |
| Cube | 1712494609344 |
| Square root | 109.380071 (= 2√2991) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1964 × |
11964 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and sixty-four |
| Binary (base 2) | 10111010111100 |
| Octal (base 8) | 27274 |
| Hexadecimal (base 16) | 2EBC |
| Base 3 | 121102010 |
| As time | 11964 seconds = 3 h 19 min 24 s |
Is 11964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11964 ÷ 2 = 5982) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11964 ÷ 3 = 3988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11964 ÷ 4 = 2991) | 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 | Yes (11964 ÷ 6 = 1994) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11964 ÷ 12 = 997) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11964 a prime number?
No. 11964 = × 3 × 997, so it is divisible by 2.
What are the factors of 11964?
1, 2, 3, 4, 6, 12, 997, 1994, 2991, 3988, 5982, 11964.
What is 11964 in binary?
10111010111100 (hexadecimal 2EBC, octal 27274).
What is the square root of 11964?
About 109.3801, exactly 2√2991.
Is 11964 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 11964?
It is a composite number with 12 divisors.