The number 13548
13548 is a composite number with 12 divisors. Its prime factorisation is × 3 × 1129. Divisors (12): 1, 2, 3, 4, 6, 12, 1129, 2258, 3387, 4516, 6774, 13548.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13548 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13548 is composite. Its prime factorisation is
- 3
The divisors add up to 31640; without 13548 itself that is 18092, so 13548 is abundant (18092 is more than 13548). Euler's totient φ(13548) = 4512 numbers up to 13548 share no factor with it.
- 4
The digits of 13548 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13548 = 2^{2} \times 3 \times 1129 \]13548 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31640 |
| Euler totient φ(n) | 4512 |
| Square | 183548304 |
| Cube | 2486712422592 |
| Square root | 116.395876 (= 2√3387) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3548 × |
13548 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand five hundred and forty-eight |
| Binary (base 2) | 11010011101100 |
| Octal (base 8) | 32354 |
| Hexadecimal (base 16) | 34EC |
| Base 3 | 200120210 |
| As time | 13548 seconds = 3 h 45 min 48 s |
Is 13548 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13548 ÷ 2 = 6774) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13548 ÷ 3 = 4516) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13548 ÷ 4 = 3387) | 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 | Yes (13548 ÷ 6 = 2258) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13548 ÷ 12 = 1129) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13548 a prime number?
No. 13548 = × 3 × 1129, so it is divisible by 2.
What are the factors of 13548?
1, 2, 3, 4, 6, 12, 1129, 2258, 3387, 4516, 6774, 13548.
What is 13548 in binary?
11010011101100 (hexadecimal 34EC, octal 32354).
What is the square root of 13548?
About 116.3959, exactly 2√3387.
Is 13548 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 13548?
It is a composite number with 12 divisors.