The number 1176
1176 is a triangular number: 1 + 2 + … + 48 = 1176. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84 … 1176.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1176: a triangular number: 1 + 2 + … + 48 = 1176.
- 2
1176 is composite. Its prime factorisation is
- 3
The divisors add up to 3420; without 1176 itself that is 2244, so 1176 is abundant (2244 is more than 1176). Euler's totient φ(1176) = 336 numbers up to 1176 share no factor with it.
- 4
The digits of 1176 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1176 = 2^{3} \times 3 \times 7^{2} \]1176 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3420 |
| Euler totient φ(n) | 336 |
| Square | 1382976 |
| Cube | 1626379776 |
| Square root | 34.292856 (= 14√6) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.176 × |
1176 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and seventy-six |
| Roman numerals | MCLXXVI |
| Binary (base 2) | 10010011000 |
| Octal (base 8) | 2230 |
| Hexadecimal (base 16) | 498 |
| Base 3 | 1121120 |
| As time | 1176 seconds = 19 min 36 s |
Is 1176 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1176 ÷ 2 = 588) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1176 ÷ 3 = 392) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1176 ÷ 4 = 294) | 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 (1176 ÷ 6 = 196) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1176 ÷ 7 = 168) | 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 (1176 ÷ 8 = 147) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1176 ÷ 12 = 98) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1176 a prime number?
No. 1176 = × 3 × , so it is divisible by 2.
What are the factors of 1176?
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 49, 56, 84, 98, 147, 168, 196, 294, 392, 588, 1176.
What is 1176 in binary?
10010011000 (hexadecimal 498, octal 2230).
What is the square root of 1176?
About 34.2929, exactly 14√6.
What is 1176 in Roman numerals?
MCLXXVI.
Is 1176 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1176?
1176 is a triangular number: 1 + 2 + … + 48 = 1176.