The number 43967
43967 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 571. Divisors (8): 1, 7, 11, 77, 571, 3997, 6281, 43967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43967 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43967 is composite. Its prime factorisation is
- 3
The divisors add up to 54912; without 43967 itself that is 10945, so 43967 is deficient (10945 is less than 43967). Euler's totient φ(43967) = 34200 numbers up to 43967 share no factor with it.
- 4
The digits of 43967 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43967 = 7 \times 11 \times 571 \]
43967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54912 |
| Euler totient φ(n) | 34200 |
| Square | 1933097089 |
| Cube | 84992479712063 |
| Square root | 209.683094 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3967 × |
43967 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and sixty-seven |
| Binary (base 2) | 1010101110111111 |
| Octal (base 8) | 125677 |
| Hexadecimal (base 16) | ABBF |
| Base 3 | 2020022102 |
| As time | 43967 seconds = 12 h 12 min 47 s |
Is 43967 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43967 ÷ 7 = 6281) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43967 ÷ 11 = 3997) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43967 a prime number?
No. 43967 = 7 × 11 × 571, so it is divisible by 7.
What are the factors of 43967?
1, 7, 11, 77, 571, 3997, 6281, 43967.
What is 43967 in binary?
1010101110111111 (hexadecimal ABBF, octal 125677).
What is the square root of 43967?
About 209.6831.
Is 43967 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 43967?
It is a composite number with 8 divisors.