The number 13648
13648 is a composite number with 10 divisors. Its prime factorisation is × 853. Divisors (10): 1, 2, 4, 8, 16, 853, 1706, 3412, 6824, 13648.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13648 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13648 is composite. Its prime factorisation is
- 3
The divisors add up to 26474; without 13648 itself that is 12826, so 13648 is deficient (12826 is less than 13648). Euler's totient φ(13648) = 6816 numbers up to 13648 share no factor with it.
- 4
The digits of 13648 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 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13648 = 2^{4} \times 853 \]13648 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 26474 |
| Euler totient φ(n) | 6816 |
| Square | 186267904 |
| Cube | 2542184353792 |
| Square root | 116.824655 (= 4√853) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 19 |
| Scientific notation | 1.3648 × |
13648 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand six hundred and forty-eight |
| Binary (base 2) | 11010101010000 |
| Octal (base 8) | 32520 |
| Hexadecimal (base 16) | 3550 |
| Base 3 | 200201111 |
| As time | 13648 seconds = 3 h 47 min 28 s |
Is 13648 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13648 ÷ 2 = 6824) | 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 (13648 ÷ 4 = 3412) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (13648 ÷ 8 = 1706) | 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 8) | 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 13648 a prime number?
No. 13648 = × 853, so it is divisible by 2.
What are the factors of 13648?
1, 2, 4, 8, 16, 853, 1706, 3412, 6824, 13648.
What is 13648 in binary?
11010101010000 (hexadecimal 3550, octal 32520).
What is the square root of 13648?
About 116.8247, exactly 4√853.
Is 13648 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 13648?
It is a composite number with 10 divisors.