The number 43488
43488 is a composite number with 36 divisors. Its prime factorisation is × × 151. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 43488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43488 is composite. Its prime factorisation is
- 3
The divisors add up to 124488; without 43488 itself that is 81000, so 43488 is abundant (81000 is more than 43488). Euler's totient φ(43488) = 14400 numbers up to 43488 share no factor with it.
- 4
The digits of 43488 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43488 = 2^{5} \times 3^{2} \times 151 \]43488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 124488 |
| Euler totient φ(n) | 14400 |
| Square | 1891206144 |
| Cube | 82244772790272 |
| Square root | 208.537766 (= 12√302) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.3488 × |
43488 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and eighty-eight |
| Binary (base 2) | 1010100111100000 |
| Octal (base 8) | 124740 |
| Hexadecimal (base 16) | A9E0 |
| Base 3 | 2012122200 |
| As time | 43488 seconds = 12 h 4 min 48 s |
Is 43488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43488 ÷ 2 = 21744) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43488 ÷ 3 = 14496) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43488 ÷ 4 = 10872) | 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 (43488 ÷ 6 = 7248) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (43488 ÷ 8 = 5436) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43488 ÷ 9 = 4832) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43488 ÷ 12 = 3624) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43488 a prime number?
No. 43488 = × × 151, so it is divisible by 2.
What are the factors of 43488?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 151, 288, 302, 453, 604, 906, 1208, 1359, 1812, 2416, 2718, 3624, 4832, 5436, 7248, 10872, 14496, 21744, 43488.
What is 43488 in binary?
1010100111100000 (hexadecimal A9E0, octal 124740).
What is the square root of 43488?
About 208.5378, exactly 12√302.
Is 43488 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 43488?
It is a composite number with 36 divisors.