The number 13344
13344 is a composite number with 24 divisors. Its prime factorisation is × 3 × 139. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 139, 278, 417, 556 … 13344.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13344 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13344 is composite. Its prime factorisation is
- 3
The divisors add up to 35280; without 13344 itself that is 21936, so 13344 is abundant (21936 is more than 13344). Euler's totient φ(13344) = 4416 numbers up to 13344 share no factor with it.
- 4
The digits of 13344 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13344 = 2^{5} \times 3 \times 139 \]13344 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 35280 |
| Euler totient φ(n) | 4416 |
| Square | 178062336 |
| Cube | 2376063811584 |
| Square root | 115.516233 (= 4√834) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3344 × |
13344 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and forty-four |
| Binary (base 2) | 11010000100000 |
| Octal (base 8) | 32040 |
| Hexadecimal (base 16) | 3420 |
| Base 3 | 200022020 |
| As time | 13344 seconds = 3 h 42 min 24 s |
Is 13344 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13344 ÷ 2 = 6672) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13344 ÷ 3 = 4448) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13344 ÷ 4 = 3336) | 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 | Yes (13344 ÷ 6 = 2224) | 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 | Yes (13344 ÷ 8 = 1668) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13344 ÷ 12 = 1112) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13344 a prime number?
No. 13344 = × 3 × 139, so it is divisible by 2.
What are the factors of 13344?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 139, 278, 417, 556, 834, 1112, 1668, 2224, 3336, 4448, 6672, 13344.
What is 13344 in binary?
11010000100000 (hexadecimal 3420, octal 32040).
What is the square root of 13344?
About 115.5162, exactly 4√834.
Is 13344 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13344?
It is a composite number with 24 divisors.