The number 43008
43008 is a composite number with 48 divisors. Its prime factorisation is × 3 × 7. Divisors (48): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48 … 43008.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43008 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43008 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 43008 itself that is 88032, so 43008 is abundant (88032 is more than 43008). Euler's totient φ(43008) = 12288 numbers up to 43008 share no factor with it.
- 4
The digits of 43008 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43008 = 2^{11} \times 3 \times 7 \]43008 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 12288 |
| Square | 1849688064 |
| Cube | 79551384256512 |
| Square root | 207.383702 (= 32√42) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 18 |
| Scientific notation | 4.3008 × |
43008 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and eight |
| Binary (base 2) | 1010100000000000 |
| Octal (base 8) | 124000 |
| Hexadecimal (base 16) | A800 |
| Base 3 | 2011222220 |
| As time | 43008 seconds = 11 h 56 min 48 s |
Is 43008 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43008 ÷ 2 = 21504) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43008 ÷ 3 = 14336) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43008 ÷ 4 = 10752) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43008 ÷ 6 = 7168) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43008 ÷ 7 = 6144) | 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 (43008 ÷ 8 = 5376) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43008 ÷ 12 = 3584) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43008 a prime number?
No. 43008 = × 3 × 7, so it is divisible by 2.
What are the factors of 43008?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 256, 336, 384, 448, 512, 672, 768, 896, 1024, 1344, 1536, 1792, 2048, 2688, 3072, 3584, 5376, 6144, 7168, 10752, 14336, 21504, 43008.
What is 43008 in binary?
1010100000000000 (hexadecimal A800, octal 124000).
What is the square root of 43008?
About 207.3837, exactly 32√42.
Is 43008 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43008?
It is a composite number with 48 divisors.