The number 43004
43004 is a composite number with 12 divisors. Its prime factorisation is × 13 × 827. Divisors (12): 1, 2, 4, 13, 26, 52, 827, 1654, 3308, 10751, 21502, 43004.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43004 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43004 is composite. Its prime factorisation is
- 3
The divisors add up to 81144; without 43004 itself that is 38140, so 43004 is deficient (38140 is less than 43004). Euler's totient φ(43004) = 19824 numbers up to 43004 share no factor with it.
- 4
The digits of 43004 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 194 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43004 = 2^{2} \times 13 \times 827 \]43004 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 81144 |
| Euler totient φ(n) | 19824 |
| Square | 1849344016 |
| Cube | 79529190064064 |
| Square root | 207.374058 (= 2√10751) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 194 |
| Scientific notation | 4.3004 × |
43004 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and four |
| Binary (base 2) | 1010011111111100 |
| Octal (base 8) | 123774 |
| Hexadecimal (base 16) | A7FC |
| Base 3 | 2011222202 |
| As time | 43004 seconds = 11 h 56 min 44 s |
Is 43004 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43004 ÷ 2 = 21502) | 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 (43004 ÷ 4 = 10751) | 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 | 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 | No (remainder 4) | 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 5) | 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 43004 a prime number?
No. 43004 = × 13 × 827, so it is divisible by 2.
What are the factors of 43004?
1, 2, 4, 13, 26, 52, 827, 1654, 3308, 10751, 21502, 43004.
What is 43004 in binary?
1010011111111100 (hexadecimal A7FC, octal 123774).
What is the square root of 43004?
About 207.3741, exactly 2√10751.
Is 43004 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43004?
It is a composite number with 12 divisors.