The number 43152
43152 is a composite number with 40 divisors. Its prime factorisation is × 3 × 29 × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 48, 58, 62, 87, 93 … 43152.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43152 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43152 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 43152 itself that is 75888, so 43152 is abundant (75888 is more than 43152). Euler's totient φ(43152) = 13440 numbers up to 43152 share no factor with it.
- 4
The digits of 43152 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43152 = 2^{4} \times 3 \times 29 \times 31 \]43152 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 13440 |
| Square | 1862095104 |
| Cube | 80353127927808 |
| Square root | 207.730595 (= 4√2697) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3152 × |
43152 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and fifty-two |
| Binary (base 2) | 1010100010010000 |
| Octal (base 8) | 124220 |
| Hexadecimal (base 16) | A890 |
| Base 3 | 2012012020 |
| As time | 43152 seconds = 11 h 59 min 12 s |
Is 43152 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43152 ÷ 2 = 21576) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43152 ÷ 3 = 14384) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43152 ÷ 4 = 10788) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43152 ÷ 6 = 7192) | 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 (43152 ÷ 8 = 5394) | 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 2) | 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 | Yes (43152 ÷ 12 = 3596) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43152 a prime number?
No. 43152 = × 3 × 29 × 31, so it is divisible by 2.
What are the factors of 43152?
1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 31, 48, 58, 62, 87, 93, 116, 124, 174, 186, 232, 248, 348, 372, 464, 496, 696, 744, 899, 1392, 1488, 1798, 2697, 3596, 5394, 7192, 10788, 14384, 21576, 43152.
What is 43152 in binary?
1010100010010000 (hexadecimal A890, octal 124220).
What is the square root of 43152?
About 207.7306, exactly 4√2697.
Is 43152 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43152?
It is a composite number with 40 divisors.