The number 43848
43848 is a composite number with 64 divisors. Its prime factorisation is × × 7 × 29. Divisors (64): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 29 … 43848.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43848: a Harshad number: divisible by its digit sum 27.
- 2
43848 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 43848 itself that is 100152, so 43848 is abundant (100152 is more than 43848). Euler's totient φ(43848) = 12096 numbers up to 43848 share no factor with it.
- 4
The digits of 43848 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43848 = 2^{3} \times 3^{3} \times 7 \times 29 \]43848 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 12096 |
| Square | 1922647104 |
| Cube | 84304230216192 |
| Square root | 209.399140 (= 6√1218) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3848 × |
43848 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and forty-eight |
| Binary (base 2) | 1010101101001000 |
| Octal (base 8) | 125510 |
| Hexadecimal (base 16) | AB48 |
| Base 3 | 2020011000 |
| As time | 43848 seconds = 12 h 10 min 48 s |
Is 43848 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43848 ÷ 2 = 21924) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43848 ÷ 3 = 14616) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43848 ÷ 4 = 10962) | 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 (43848 ÷ 6 = 7308) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43848 ÷ 7 = 6264) | 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 (43848 ÷ 8 = 5481) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43848 ÷ 9 = 4872) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43848 ÷ 12 = 3654) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43848 a prime number?
No. 43848 = × × 7 × 29, so it is divisible by 2.
What are the factors of 43848?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 29, 36, 42, 54, 56, 58, 63, 72, 84, 87, 108, 116, 126, 168, 174, 189, 203, 216, 232, 252, 261, 348, 378, 406, 504, 522, 609, 696, 756, 783, 812, 1044, 1218, 1512, 1566, 1624, 1827, 2088, 2436, 3132, 3654, 4872, 5481, 6264, 7308, 10962, 14616, 21924, 43848.
What is 43848 in binary?
1010101101001000 (hexadecimal AB48, octal 125510).
What is the square root of 43848?
About 209.3991, exactly 6√1218.
Is 43848 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43848?
43848 is a Harshad number: divisible by its digit sum 27.