The number 43376
43376 is a composite number with 10 divisors. Its prime factorisation is × 2711. Divisors (10): 1, 2, 4, 8, 16, 2711, 5422, 10844, 21688, 43376.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43376 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43376 is composite. Its prime factorisation is
- 3
The divisors add up to 84072; without 43376 itself that is 40696, so 43376 is deficient (40696 is less than 43376). Euler's totient φ(43376) = 21680 numbers up to 43376 share no factor with it.
- 4
The digits of 43376 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43376 = 2^{4} \times 2711 \]43376 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 84072 |
| Euler totient φ(n) | 21680 |
| Square | 1881477376 |
| Cube | 81610962661376 |
| Square root | 208.269057 (= 4√2711) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3376 × |
43376 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand three hundred and seventy-six |
| Binary (base 2) | 1010100101110000 |
| Octal (base 8) | 124560 |
| Hexadecimal (base 16) | A970 |
| Base 3 | 2012111112 |
| As time | 43376 seconds = 12 h 2 min 56 s |
Is 43376 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43376 ÷ 2 = 21688) | 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 (43376 ÷ 4 = 10844) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 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 (43376 ÷ 8 = 5422) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 43376 a prime number?
No. 43376 = × 2711, so it is divisible by 2.
What are the factors of 43376?
1, 2, 4, 8, 16, 2711, 5422, 10844, 21688, 43376.
What is 43376 in binary?
1010100101110000 (hexadecimal A970, octal 124560).
What is the square root of 43376?
About 208.2691, exactly 4√2711.
Is 43376 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 43376?
It is a composite number with 10 divisors.