The number 13448
13448 is a composite number with 12 divisors. Its prime factorisation is × . Divisors (12): 1, 2, 4, 8, 41, 82, 164, 328, 1681, 3362, 6724, 13448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13448 is composite. Its prime factorisation is
- 3
The divisors add up to 25845; without 13448 itself that is 12397, so 13448 is deficient (12397 is less than 13448). Euler's totient φ(13448) = 6560 numbers up to 13448 share no factor with it.
- 4
The digits of 13448 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13448 = 2^{3} \times 41^{2} \]13448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 25845 |
| Euler totient φ(n) | 6560 |
| Square | 180848704 |
| Cube | 2432053371392 |
| Square root | 115.965512 (= 82√2) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3448 × |
13448 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand four hundred and forty-eight |
| Binary (base 2) | 11010010001000 |
| Octal (base 8) | 32210 |
| Hexadecimal (base 16) | 3488 |
| Base 3 | 200110002 |
| As time | 13448 seconds = 3 h 44 min 8 s |
Is 13448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13448 ÷ 2 = 6724) | 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 (13448 ÷ 4 = 3362) | 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 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 | Yes (13448 ÷ 8 = 1681) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 6) | 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 13448 a prime number?
No. 13448 = × , so it is divisible by 2.
What are the factors of 13448?
1, 2, 4, 8, 41, 82, 164, 328, 1681, 3362, 6724, 13448.
What is 13448 in binary?
11010010001000 (hexadecimal 3488, octal 32210).
What is the square root of 13448?
About 115.9655, exactly 82√2.
Is 13448 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13448?
It is a composite number with 12 divisors.