The number 43504
43504 is a composite number with 10 divisors. Its prime factorisation is × 2719. Divisors (10): 1, 2, 4, 8, 16, 2719, 5438, 10876, 21752, 43504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43504: a Harshad number: divisible by its digit sum 16.
- 2
43504 is composite. Its prime factorisation is
- 3
The divisors add up to 84320; without 43504 itself that is 40816, so 43504 is deficient (40816 is less than 43504). Euler's totient φ(43504) = 21744 numbers up to 43504 share no factor with it.
- 4
The digits of 43504 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43504 = 2^{4} \times 2719 \]43504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 84320 |
| Euler totient φ(n) | 21744 |
| Square | 1892598016 |
| Cube | 82335584088064 |
| Square root | 208.576125 (= 4√2719) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3504 × |
43504 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and four |
| Binary (base 2) | 1010100111110000 |
| Octal (base 8) | 124760 |
| Hexadecimal (base 16) | A9F0 |
| Base 3 | 2012200021 |
| As time | 43504 seconds = 12 h 5 min 4 s |
Is 43504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43504 ÷ 2 = 21752) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43504 ÷ 4 = 10876) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (43504 ÷ 8 = 5438) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43504 a prime number?
No. 43504 = × 2719, so it is divisible by 2.
What are the factors of 43504?
1, 2, 4, 8, 16, 2719, 5438, 10876, 21752, 43504.
What is 43504 in binary?
1010100111110000 (hexadecimal A9F0, octal 124760).
What is the square root of 43504?
About 208.5761, exactly 4√2719.
Is 43504 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43504?
43504 is a Harshad number: divisible by its digit sum 16.