The number 43740
43740 is a composite number with 48 divisors. Its prime factorisation is × × 5. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 43740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43740: a Harshad number: divisible by its digit sum 18.
- 2
43740 is composite. Its prime factorisation is
- 3
The divisors add up to 137760; without 43740 itself that is 94020, so 43740 is abundant (94020 is more than 43740). Euler's totient φ(43740) = 11664 numbers up to 43740 share no factor with it.
- 4
The digits of 43740 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43740 = 2^{2} \times 3^{7} \times 5 \]43740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 137760 |
| Euler totient φ(n) | 11664 |
| Square | 1913187600 |
| Cube | 83682825624000 |
| Square root | 209.141101 (= 54√15) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.374 × |
43740 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and forty |
| Binary (base 2) | 1010101011011100 |
| Octal (base 8) | 125334 |
| Hexadecimal (base 16) | AADC |
| Base 3 | 2020000000 |
| As time | 43740 seconds = 12 h 9 min 0 s |
Is 43740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43740 ÷ 2 = 21870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43740 ÷ 3 = 14580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43740 ÷ 4 = 10935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43740 ÷ 5 = 8748) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43740 ÷ 6 = 7290) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43740 ÷ 9 = 4860) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43740 ÷ 10 = 4374) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43740 ÷ 12 = 3645) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43740 a prime number?
No. 43740 = × × 5, so it is divisible by 2.
What are the factors of 43740?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 81, 90, 108, 135, 162, 180, 243, 270, 324, 405, 486, 540, 729, 810, 972, 1215, 1458, 1620, 2187, 2430, 2916, 3645, 4374, 4860, 7290, 8748, 10935, 14580, 21870, 43740.
What is 43740 in binary?
1010101011011100 (hexadecimal AADC, octal 125334).
What is the square root of 43740?
About 209.1411, exactly 54√15.
Is 43740 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43740?
43740 is a Harshad number: divisible by its digit sum 18.