The number 43704
43704 is a composite number with 24 divisors. Its prime factorisation is × × 607. Divisors (24): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 607, 1214, 1821, 2428 … 43704.
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How to work it out
- 1
What is special about 43704: a Harshad number: divisible by its digit sum 18.
- 2
43704 is composite. Its prime factorisation is
- 3
The divisors add up to 118560; without 43704 itself that is 74856, so 43704 is abundant (74856 is more than 43704). Euler's totient φ(43704) = 14544 numbers up to 43704 share no factor with it.
- 4
The digits of 43704 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43704 = 2^{3} \times 3^{2} \times 607 \]43704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118560 |
| Euler totient φ(n) | 14544 |
| Square | 1910039616 |
| Cube | 83476371377664 |
| Square root | 209.055017 (= 6√1214) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3704 × |
43704 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and four |
| Binary (base 2) | 1010101010111000 |
| Octal (base 8) | 125270 |
| Hexadecimal (base 16) | AAB8 |
| Base 3 | 2012221200 |
| As time | 43704 seconds = 12 h 8 min 24 s |
Is 43704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43704 ÷ 2 = 21852) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43704 ÷ 3 = 14568) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43704 ÷ 4 = 10926) | 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 (43704 ÷ 6 = 7284) | 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 | Yes (43704 ÷ 8 = 5463) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43704 ÷ 9 = 4856) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43704 ÷ 12 = 3642) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43704 a prime number?
No. 43704 = × × 607, so it is divisible by 2.
What are the factors of 43704?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 607, 1214, 1821, 2428, 3642, 4856, 5463, 7284, 10926, 14568, 21852, 43704.
What is 43704 in binary?
1010101010111000 (hexadecimal AAB8, octal 125270).
What is the square root of 43704?
About 209.0550, exactly 6√1214.
Is 43704 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43704?
43704 is a Harshad number: divisible by its digit sum 18.