The number 43988
43988 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1571. Divisors (12): 1, 2, 4, 7, 14, 28, 1571, 3142, 6284, 10997, 21994, 43988.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43988 is composite. Its prime factorisation is
- 3
The divisors add up to 88032; without 43988 itself that is 44044, so 43988 is abundant (44044 is more than 43988). Euler's totient φ(43988) = 18840 numbers up to 43988 share no factor with it.
- 4
The digits of 43988 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43988 = 2^{2} \times 7 \times 1571 \]43988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88032 |
| Euler totient φ(n) | 18840 |
| Square | 1934944144 |
| Cube | 85114323006272 |
| Square root | 209.733164 (= 2√10997) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.3988 × |
43988 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and eighty-eight |
| Binary (base 2) | 1010101111010100 |
| Octal (base 8) | 125724 |
| Hexadecimal (base 16) | ABD4 |
| Base 3 | 2020100012 |
| As time | 43988 seconds = 12 h 13 min 8 s |
Is 43988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43988 ÷ 2 = 21994) | 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 (43988 ÷ 4 = 10997) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (43988 ÷ 7 = 6284) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43988 a prime number?
No. 43988 = × 7 × 1571, so it is divisible by 2.
What are the factors of 43988?
1, 2, 4, 7, 14, 28, 1571, 3142, 6284, 10997, 21994, 43988.
What is 43988 in binary?
1010101111010100 (hexadecimal ABD4, octal 125724).
What is the square root of 43988?
About 209.7332, exactly 2√10997.
Is 43988 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 43988?
It is a composite number with 12 divisors.