The number 13384
13384 is a composite number with 16 divisors. Its prime factorisation is × 7 × 239. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384.
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How to work it out
- 1
13384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13384 is composite. Its prime factorisation is
- 3
The divisors add up to 28800; without 13384 itself that is 15416, so 13384 is abundant (15416 is more than 13384). Euler's totient φ(13384) = 5712 numbers up to 13384 share no factor with it.
- 4
The digits of 13384 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13384 = 2^{3} \times 7 \times 239 \]13384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 28800 |
| Euler totient φ(n) | 5712 |
| Square | 179131456 |
| Cube | 2397495407104 |
| Square root | 115.689239 (= 2√3346) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.3384 × |
13384 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and eighty-four |
| Binary (base 2) | 11010001001000 |
| Octal (base 8) | 32110 |
| Hexadecimal (base 16) | 3448 |
| Base 3 | 200100201 |
| As time | 13384 seconds = 3 h 43 min 4 s |
Is 13384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13384 ÷ 2 = 6692) | 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 (13384 ÷ 4 = 3346) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13384 ÷ 7 = 1912) | 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 (13384 ÷ 8 = 1673) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | 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 13384 a prime number?
No. 13384 = × 7 × 239, so it is divisible by 2.
What are the factors of 13384?
1, 2, 4, 7, 8, 14, 28, 56, 239, 478, 956, 1673, 1912, 3346, 6692, 13384.
What is 13384 in binary?
11010001001000 (hexadecimal 3448, octal 32110).
What is the square root of 13384?
About 115.6892, exactly 2√3346.
Is 13384 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 13384?
It is a composite number with 16 divisors.