The number 43984
43984 is a composite number with 10 divisors. Its prime factorisation is × 2749. Divisors (10): 1, 2, 4, 8, 16, 2749, 5498, 10996, 21992, 43984.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43984 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43984 is composite. Its prime factorisation is
- 3
The divisors add up to 85250; without 43984 itself that is 41266, so 43984 is deficient (41266 is less than 43984). Euler's totient φ(43984) = 21984 numbers up to 43984 share no factor with it.
- 4
The digits of 43984 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43984 = 2^{4} \times 2749 \]43984 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 85250 |
| Euler totient φ(n) | 21984 |
| Square | 1934592256 |
| Cube | 85091105787904 |
| Square root | 209.723628 (= 4√2749) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3984 × |
43984 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and eighty-four |
| Binary (base 2) | 1010101111010000 |
| Octal (base 8) | 125720 |
| Hexadecimal (base 16) | ABD0 |
| Base 3 | 2020100001 |
| As time | 43984 seconds = 12 h 13 min 4 s |
Is 43984 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43984 ÷ 2 = 21992) | 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 (43984 ÷ 4 = 10996) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 (43984 ÷ 8 = 5498) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 43984 a prime number?
No. 43984 = × 2749, so it is divisible by 2.
What are the factors of 43984?
1, 2, 4, 8, 16, 2749, 5498, 10996, 21992, 43984.
What is 43984 in binary?
1010101111010000 (hexadecimal ABD0, octal 125720).
What is the square root of 43984?
About 209.7236, exactly 4√2749.
Is 43984 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 43984?
It is a composite number with 10 divisors.