The number 13848
13848 is a composite number with 16 divisors. Its prime factorisation is × 3 × 577. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 577, 1154, 1731, 2308, 3462, 4616, 6924, 13848.
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How to work it out
- 1
What is special about 13848: a Harshad number: divisible by its digit sum 24.
- 2
13848 is composite. Its prime factorisation is
- 3
The divisors add up to 34680; without 13848 itself that is 20832, so 13848 is abundant (20832 is more than 13848). Euler's totient φ(13848) = 4608 numbers up to 13848 share no factor with it.
- 4
The digits of 13848 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13848 = 2^{3} \times 3 \times 577 \]13848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34680 |
| Euler totient φ(n) | 4608 |
| Square | 191767104 |
| Cube | 2655590856192 |
| Square root | 117.677525 (= 2√3462) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 1.3848 × |
13848 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand eight hundred and forty-eight |
| Binary (base 2) | 11011000011000 |
| Octal (base 8) | 33030 |
| Hexadecimal (base 16) | 3618 |
| Base 3 | 200222220 |
| As time | 13848 seconds = 3 h 50 min 48 s |
Is 13848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13848 ÷ 2 = 6924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13848 ÷ 3 = 4616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (13848 ÷ 4 = 3462) | 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 (13848 ÷ 6 = 2308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (13848 ÷ 8 = 1731) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (13848 ÷ 12 = 1154) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13848 a prime number?
No. 13848 = × 3 × 577, so it is divisible by 2.
What are the factors of 13848?
1, 2, 3, 4, 6, 8, 12, 24, 577, 1154, 1731, 2308, 3462, 4616, 6924, 13848.
What is 13848 in binary?
11011000011000 (hexadecimal 3618, octal 33030).
What is the square root of 13848?
About 117.6775, exactly 2√3462.
Is 13848 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 13848?
13848 is a Harshad number: divisible by its digit sum 24.