The number 13396
13396 is a composite number with 12 divisors. Its prime factorisation is × 17 × 197. Divisors (12): 1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13396 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13396 is composite. Its prime factorisation is
- 3
The divisors add up to 24948; without 13396 itself that is 11552, so 13396 is deficient (11552 is less than 13396). Euler's totient φ(13396) = 6272 numbers up to 13396 share no factor with it.
- 4
The digits of 13396 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13396 = 2^{2} \times 17 \times 197 \]13396 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 24948 |
| Euler totient φ(n) | 6272 |
| Square | 179452816 |
| Cube | 2403949923136 |
| Square root | 115.741090 (= 2√3349) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3396 × |
13396 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and ninety-six |
| Binary (base 2) | 11010001010100 |
| Octal (base 8) | 32124 |
| Hexadecimal (base 16) | 3454 |
| Base 3 | 200101011 |
| As time | 13396 seconds = 3 h 43 min 16 s |
Is 13396 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13396 ÷ 2 = 6698) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13396 ÷ 4 = 3349) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13396 a prime number?
No. 13396 = × 17 × 197, so it is divisible by 2.
What are the factors of 13396?
1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396.
What is 13396 in binary?
11010001010100 (hexadecimal 3454, octal 32124).
What is the square root of 13396?
About 115.7411, exactly 2√3349.
Is 13396 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13396?
It is a composite number with 12 divisors.