The number 1197
1197 is a composite number with 12 divisors. Its prime factorisation is × 7 × 19. Divisors (12): 1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1197 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1197 is composite. Its prime factorisation is
- 3
The divisors add up to 2080; without 1197 itself that is 883, so 1197 is deficient (883 is less than 1197). Euler's totient φ(1197) = 648 numbers up to 1197 share no factor with it.
- 4
The digits of 1197 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1197 = 3^{2} \times 7 \times 19 \]1197 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2080 |
| Euler totient φ(n) | 648 |
| Square | 1432809 |
| Cube | 1715072373 |
| Square root | 34.597688 (= 3√133) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 1.197 × |
1197 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety-seven |
| Roman numerals | MCXCVII |
| Binary (base 2) | 10010101101 |
| Octal (base 8) | 2255 |
| Hexadecimal (base 16) | 4AD |
| Base 3 | 1122100 |
| As time | 1197 seconds = 19 min 57 s |
Is 1197 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1197 ÷ 3 = 399) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (1197 ÷ 7 = 171) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (1197 ÷ 9 = 133) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1197 a prime number?
No. 1197 = × 7 × 19, so it is divisible by 3.
What are the factors of 1197?
1, 3, 7, 9, 19, 21, 57, 63, 133, 171, 399, 1197.
What is 1197 in binary?
10010101101 (hexadecimal 4AD, octal 2255).
What is the square root of 1197?
About 34.5977, exactly 3√133.
What is 1197 in Roman numerals?
MCXCVII.
Is 1197 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 1197?
It is a composite number with 12 divisors.