The number 13364
13364 is a composite number with 12 divisors. Its prime factorisation is × 13 × 257. Divisors (12): 1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13364 is composite. Its prime factorisation is
- 3
The divisors add up to 25284; without 13364 itself that is 11920, so 13364 is deficient (11920 is less than 13364). Euler's totient φ(13364) = 6144 numbers up to 13364 share no factor with it.
- 4
The digits of 13364 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 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13364 = 2^{2} \times 13 \times 257 \]13364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25284 |
| Euler totient φ(n) | 6144 |
| Square | 178596496 |
| Cube | 2386763572544 |
| Square root | 115.602768 (= 2√3341) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3364 × |
13364 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and sixty-four |
| Binary (base 2) | 11010000110100 |
| Octal (base 8) | 32064 |
| Hexadecimal (base 16) | 3434 |
| Base 3 | 200022222 |
| As time | 13364 seconds = 3 h 42 min 44 s |
Is 13364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13364 ÷ 2 = 6682) | 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 (13364 ÷ 4 = 3341) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 1) | 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 4) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13364 a prime number?
No. 13364 = × 13 × 257, so it is divisible by 2.
What are the factors of 13364?
1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364.
What is 13364 in binary?
11010000110100 (hexadecimal 3434, octal 32064).
What is the square root of 13364?
About 115.6028, exactly 2√3341.
Is 13364 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13364?
It is a composite number with 12 divisors.