The number 43132
43132 is a composite number with 12 divisors. Its prime factorisation is × 41 × 263. Divisors (12): 1, 2, 4, 41, 82, 164, 263, 526, 1052, 10783, 21566, 43132.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43132 is composite. Its prime factorisation is
- 3
The divisors add up to 77616; without 43132 itself that is 34484, so 43132 is deficient (34484 is less than 43132). Euler's totient φ(43132) = 20960 numbers up to 43132 share no factor with it.
- 4
The digits of 43132 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 150 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43132 = 2^{2} \times 41 \times 263 \]43132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77616 |
| Euler totient φ(n) | 20960 |
| Square | 1860369424 |
| Cube | 80241453995968 |
| Square root | 207.682450 (= 2√10783) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 150 |
| Scientific notation | 4.3132 × |
43132 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and thirty-two |
| Binary (base 2) | 1010100001111100 |
| Octal (base 8) | 124174 |
| Hexadecimal (base 16) | A87C |
| Base 3 | 2012011111 |
| As time | 43132 seconds = 11 h 58 min 52 s |
Is 43132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43132 ÷ 2 = 21566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43132 ÷ 4 = 10783) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 4) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43132 a prime number?
No. 43132 = × 41 × 263, so it is divisible by 2.
What are the factors of 43132?
1, 2, 4, 41, 82, 164, 263, 526, 1052, 10783, 21566, 43132.
What is 43132 in binary?
1010100001111100 (hexadecimal A87C, octal 124174).
What is the square root of 43132?
About 207.6824, exactly 2√10783.
Is 43132 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 43132?
It is a composite number with 12 divisors.