The number 43904
43904 is a composite number with 32 divisors. Its prime factorisation is × . Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196 … 43904.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43904 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43904 is composite. Its prime factorisation is
- 3
The divisors add up to 102000; without 43904 itself that is 58096, so 43904 is abundant (58096 is more than 43904). Euler's totient φ(43904) = 18816 numbers up to 43904 share no factor with it.
- 4
The digits of 43904 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43904 = 2^{7} \times 7^{3} \]43904 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 102000 |
| Euler totient φ(n) | 18816 |
| Square | 1927561216 |
| Cube | 84627647627264 |
| Square root | 209.532814 (= 56√14) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.3904 × |
43904 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and four |
| Binary (base 2) | 1010101110000000 |
| Octal (base 8) | 125600 |
| Hexadecimal (base 16) | AB80 |
| Base 3 | 2020020002 |
| As time | 43904 seconds = 12 h 11 min 44 s |
Is 43904 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43904 ÷ 2 = 21952) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43904 ÷ 4 = 10976) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43904 ÷ 7 = 6272) | 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 (43904 ÷ 8 = 5488) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43904 a prime number?
No. 43904 = × , so it is divisible by 2.
What are the factors of 43904?
1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 128, 196, 224, 343, 392, 448, 686, 784, 896, 1372, 1568, 2744, 3136, 5488, 6272, 10976, 21952, 43904.
What is 43904 in binary?
1010101110000000 (hexadecimal AB80, octal 125600).
What is the square root of 43904?
About 209.5328, exactly 56√14.
Is 43904 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43904?
It is a composite number with 32 divisors.