The number 43940
43940 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845 … 43940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43940: a Harshad number: divisible by its digit sum 20.
- 2
43940 is composite. Its prime factorisation is
- 3
The divisors add up to 99960; without 43940 itself that is 56020, so 43940 is abundant (56020 is more than 43940). Euler's totient φ(43940) = 16224 numbers up to 43940 share no factor with it.
- 4
The digits of 43940 add up to 20, 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
\[ 43940 = 2^{2} \times 5 \times 13^{3} \]43940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 99960 |
| Euler totient φ(n) | 16224 |
| Square | 1930723600 |
| Cube | 84835994984000 |
| Square root | 209.618701 (= 26√65) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.394 × |
43940 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand nine hundred and forty |
| Binary (base 2) | 1010101110100100 |
| Octal (base 8) | 125644 |
| Hexadecimal (base 16) | ABA4 |
| Base 3 | 2020021102 |
| As time | 43940 seconds = 12 h 12 min 20 s |
Is 43940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43940 ÷ 2 = 21970) | 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 (43940 ÷ 4 = 10985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43940 ÷ 5 = 8788) | 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 1) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43940 ÷ 10 = 4394) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43940 a prime number?
No. 43940 = × 5 × , so it is divisible by 2.
What are the factors of 43940?
1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 169, 260, 338, 676, 845, 1690, 2197, 3380, 4394, 8788, 10985, 21970, 43940.
What is 43940 in binary?
1010101110100100 (hexadecimal ABA4, octal 125644).
What is the square root of 43940?
About 209.6187, exactly 26√65.
Is 43940 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 43940?
43940 is a Harshad number: divisible by its digit sum 20.