The number 13197
13197 is a composite number with 8 divisors. Its prime factorisation is 3 × 53 × 83. Divisors (8): 1, 3, 53, 83, 159, 249, 4399, 13197.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13197 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13197 is composite. Its prime factorisation is
- 3
The divisors add up to 18144; without 13197 itself that is 4947, so 13197 is deficient (4947 is less than 13197). Euler's totient φ(13197) = 8528 numbers up to 13197 share no factor with it.
- 4
The digits of 13197 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13197 = 3 \times 53 \times 83 \]
13197 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18144 |
| Euler totient φ(n) | 8528 |
| Square | 174160809 |
| Cube | 2298400196373 |
| Square root | 114.878196 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.3197 × |
13197 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand one hundred and ninety-seven |
| Binary (base 2) | 11001110001101 |
| Octal (base 8) | 31615 |
| Hexadecimal (base 16) | 338D |
| Base 3 | 200002210 |
| As time | 13197 seconds = 3 h 39 min 57 s |
Is 13197 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 (13197 ÷ 3 = 4399) | 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 | No (remainder 2) | 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 | No (remainder 3) | 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 8) | 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 13197 a prime number?
No. 13197 = 3 × 53 × 83, so it is divisible by 3.
What are the factors of 13197?
1, 3, 53, 83, 159, 249, 4399, 13197.
What is 13197 in binary?
11001110001101 (hexadecimal 338D, octal 31615).
What is the square root of 13197?
About 114.8782.
Is 13197 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13197?
It is a composite number with 8 divisors.