The number 43104
43104 is a composite number with 24 divisors. Its prime factorisation is × 3 × 449. Divisors (24): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 449, 898, 1347, 1796 … 43104.
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How to work it out
- 1
What is special about 43104: a Harshad number: divisible by its digit sum 12.
- 2
43104 is composite. Its prime factorisation is
- 3
The divisors add up to 113400; without 43104 itself that is 70296, so 43104 is abundant (70296 is more than 43104). Euler's totient φ(43104) = 14336 numbers up to 43104 share no factor with it.
- 4
The digits of 43104 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43104 = 2^{5} \times 3 \times 449 \]43104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 113400 |
| Euler totient φ(n) | 14336 |
| Square | 1857954816 |
| Cube | 80085284388864 |
| Square root | 207.615028 (= 4√2694) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3104 × |
43104 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and four |
| Binary (base 2) | 1010100001100000 |
| Octal (base 8) | 124140 |
| Hexadecimal (base 16) | A860 |
| Base 3 | 2012010110 |
| As time | 43104 seconds = 11 h 58 min 24 s |
Is 43104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43104 ÷ 2 = 21552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43104 ÷ 3 = 14368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43104 ÷ 4 = 10776) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43104 ÷ 6 = 7184) | 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 (43104 ÷ 8 = 5388) | 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 4) | 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 | Yes (43104 ÷ 12 = 3592) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43104 a prime number?
No. 43104 = × 3 × 449, so it is divisible by 2.
What are the factors of 43104?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 449, 898, 1347, 1796, 2694, 3592, 5388, 7184, 10776, 14368, 21552, 43104.
What is 43104 in binary?
1010100001100000 (hexadecimal A860, octal 124140).
What is the square root of 43104?
About 207.6150, exactly 4√2694.
Is 43104 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 43104?
43104 is a Harshad number: divisible by its digit sum 12.