The number 43888
43888 is a composite number with 20 divisors. Its prime factorisation is × 13 × 211. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 211, 422, 844, 1688, 2743, 3376 … 43888.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43888 is composite. Its prime factorisation is
- 3
The divisors add up to 92008; without 43888 itself that is 48120, so 43888 is abundant (48120 is more than 43888). Euler's totient φ(43888) = 20160 numbers up to 43888 share no factor with it.
- 4
The digits of 43888 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43888 = 2^{4} \times 13 \times 211 \]43888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 92008 |
| Euler totient φ(n) | 20160 |
| Square | 1926156544 |
| Cube | 84535158403072 |
| Square root | 209.494630 (= 4√2743) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.3888 × |
43888 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand eight hundred and eighty-eight |
| Binary (base 2) | 1010101101110000 |
| Octal (base 8) | 125560 |
| Hexadecimal (base 16) | AB70 |
| Base 3 | 2020012111 |
| As time | 43888 seconds = 12 h 11 min 28 s |
Is 43888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43888 ÷ 2 = 21944) | 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 (43888 ÷ 4 = 10972) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (43888 ÷ 8 = 5486) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 9) | 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 43888 a prime number?
No. 43888 = × 13 × 211, so it is divisible by 2.
What are the factors of 43888?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 211, 422, 844, 1688, 2743, 3376, 5486, 10972, 21944, 43888.
What is 43888 in binary?
1010101101110000 (hexadecimal AB70, octal 125560).
What is the square root of 43888?
About 209.4946, exactly 4√2743.
Is 43888 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 43888?
It is a composite number with 20 divisors.