The number 11976
11976 is a composite number with 16 divisors. Its prime factorisation is × 3 × 499. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 499, 998, 1497, 1996, 2994, 3992, 5988, 11976.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11976: a Harshad number: divisible by its digit sum 24.
- 2
11976 is composite. Its prime factorisation is
- 3
The divisors add up to 30000; without 11976 itself that is 18024, so 11976 is abundant (18024 is more than 11976). Euler's totient φ(11976) = 3984 numbers up to 11976 share no factor with it.
- 4
The digits of 11976 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11976 = 2^{3} \times 3 \times 499 \]11976 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 30000 |
| Euler totient φ(n) | 3984 |
| Square | 143424576 |
| Cube | 1717652722176 |
| Square root | 109.434912 (= 2√2994) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.1976 × |
11976 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and seventy-six |
| Binary (base 2) | 10111011001000 |
| Octal (base 8) | 27310 |
| Hexadecimal (base 16) | 2EC8 |
| Base 3 | 121102120 |
| As time | 11976 seconds = 3 h 19 min 36 s |
Is 11976 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11976 ÷ 2 = 5988) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11976 ÷ 3 = 3992) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11976 ÷ 4 = 2994) | 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 | Yes (11976 ÷ 6 = 1996) | 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 | Yes (11976 ÷ 8 = 1497) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11976 ÷ 12 = 998) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11976 a prime number?
No. 11976 = × 3 × 499, so it is divisible by 2.
What are the factors of 11976?
1, 2, 3, 4, 6, 8, 12, 24, 499, 998, 1497, 1996, 2994, 3992, 5988, 11976.
What is 11976 in binary?
10111011001000 (hexadecimal 2EC8, octal 27310).
What is the square root of 11976?
About 109.4349, exactly 2√2994.
Is 11976 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 11976?
11976 is a Harshad number: divisible by its digit sum 24.