The number 1196
1196 is a composite number with 12 divisors. Its prime factorisation is × 13 × 23. Divisors (12): 1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1196 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1196 is composite. Its prime factorisation is
- 3
The divisors add up to 2352; without 1196 itself that is 1156, so 1196 is deficient (1156 is less than 1196). Euler's totient φ(1196) = 528 numbers up to 1196 share no factor with it.
- 4
The digits of 1196 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1196 = 2^{2} \times 13 \times 23 \]1196 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2352 |
| Euler totient φ(n) | 528 |
| Square | 1430416 |
| Cube | 1710777536 |
| Square root | 34.583233 (= 2√299) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.196 × |
1196 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety-six |
| Roman numerals | MCXCVI |
| Binary (base 2) | 10010101100 |
| Octal (base 8) | 2254 |
| Hexadecimal (base 16) | 4AC |
| Base 3 | 1122022 |
| As time | 1196 seconds = 19 min 56 s |
Is 1196 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1196 ÷ 2 = 598) | 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 (1196 ÷ 4 = 299) | 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 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 | 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 8) | 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 1196 a prime number?
No. 1196 = × 13 × 23, so it is divisible by 2.
What are the factors of 1196?
1, 2, 4, 13, 23, 26, 46, 52, 92, 299, 598, 1196.
What is 1196 in binary?
10010101100 (hexadecimal 4AC, octal 2254).
What is the square root of 1196?
About 34.5832, exactly 2√299.
What is 1196 in Roman numerals?
MCXCVI.
Is 1196 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 1196?
It is a composite number with 12 divisors.