The number 43880
43880 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1097. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1097, 2194, 4388, 5485, 8776, 10970, 21940, 43880.
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How to work it out
- 1
43880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43880 is composite. Its prime factorisation is
- 3
The divisors add up to 98820; without 43880 itself that is 54940, so 43880 is abundant (54940 is more than 43880). Euler's totient φ(43880) = 17536 numbers up to 43880 share no factor with it.
- 4
The digits of 43880 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
\[ 43880 = 2^{3} \times 5 \times 1097 \]43880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 98820 |
| Euler totient φ(n) | 17536 |
| Square | 1925454400 |
| Cube | 84488939072000 |
| Square root | 209.475536 (= 2√10970) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.388 × |
43880 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and eighty |
| Binary (base 2) | 1010101101101000 |
| Octal (base 8) | 125550 |
| Hexadecimal (base 16) | AB68 |
| Base 3 | 2020012012 |
| As time | 43880 seconds = 12 h 11 min 20 s |
Is 43880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43880 ÷ 2 = 21940) | 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 (43880 ÷ 4 = 10970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43880 ÷ 5 = 8776) | 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 (43880 ÷ 8 = 5485) | 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 | Yes (43880 ÷ 10 = 4388) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43880 a prime number?
No. 43880 = × 5 × 1097, so it is divisible by 2.
What are the factors of 43880?
1, 2, 4, 5, 8, 10, 20, 40, 1097, 2194, 4388, 5485, 8776, 10970, 21940, 43880.
What is 43880 in binary?
1010101101101000 (hexadecimal AB68, octal 125550).
What is the square root of 43880?
About 209.4755, exactly 2√10970.
Is 43880 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 43880?
It is a composite number with 16 divisors.