The number 13424
13424 is a composite number with 10 divisors. Its prime factorisation is × 839. Divisors (10): 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13424 is composite. Its prime factorisation is
- 3
The divisors add up to 26040; without 13424 itself that is 12616, so 13424 is deficient (12616 is less than 13424). Euler's totient φ(13424) = 6704 numbers up to 13424 share no factor with it.
- 4
The digits of 13424 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13424 = 2^{4} \times 839 \]13424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 26040 |
| Euler totient φ(n) | 6704 |
| Square | 180203776 |
| Cube | 2419055489024 |
| Square root | 115.861987 (= 4√839) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 89 |
| Scientific notation | 1.3424 × |
13424 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and twenty-four |
| Binary (base 2) | 11010001110000 |
| Octal (base 8) | 32160 |
| Hexadecimal (base 16) | 3470 |
| Base 3 | 200102012 |
| As time | 13424 seconds = 3 h 43 min 44 s |
Is 13424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13424 ÷ 2 = 6712) | 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 (13424 ÷ 4 = 3356) | 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 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 | Yes (13424 ÷ 8 = 1678) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 4) | 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 13424 a prime number?
No. 13424 = × 839, so it is divisible by 2.
What are the factors of 13424?
1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424.
What is 13424 in binary?
11010001110000 (hexadecimal 3470, octal 32160).
What is the square root of 13424?
About 115.8620, exactly 4√839.
Is 13424 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13424?
It is a composite number with 10 divisors.