The number 43725
43725 is a composite number with 24 divisors. Its prime factorisation is 3 × × 11 × 53. Divisors (24): 1, 3, 5, 11, 15, 25, 33, 53, 55, 75, 159, 165, 265, 275, 583, 795 … 43725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43725: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43725 is composite. Its prime factorisation is
- 3
The divisors add up to 80352; without 43725 itself that is 36627, so 43725 is deficient (36627 is less than 43725). Euler's totient φ(43725) = 20800 numbers up to 43725 share no factor with it.
- 4
The digits of 43725 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43725 = 3 \times 5^{2} \times 11 \times 53 \]43725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 80352 |
| Euler totient φ(n) | 20800 |
| Square | 1911875625 |
| Cube | 83596761703125 |
| Square root | 209.105237 (= 5√1749) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3725 × |
43725 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand seven hundred and twenty-five |
| Binary (base 2) | 1010101011001101 |
| Octal (base 8) | 125315 |
| Hexadecimal (base 16) | AACD |
| Base 3 | 2012222110 |
| As time | 43725 seconds = 12 h 8 min 45 s |
Is 43725 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43725 ÷ 3 = 14575) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43725 ÷ 5 = 8745) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43725 ÷ 11 = 3975) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43725 a prime number?
No. 43725 = 3 × × 11 × 53, so it is divisible by 3.
What are the factors of 43725?
1, 3, 5, 11, 15, 25, 33, 53, 55, 75, 159, 165, 265, 275, 583, 795, 825, 1325, 1749, 2915, 3975, 8745, 14575, 43725.
What is 43725 in binary?
1010101011001101 (hexadecimal AACD, octal 125315).
What is the square root of 43725?
About 209.1052, exactly 5√1749.
Is 43725 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 43725?
43725 is a happy number: repeatedly adding the squares of its digits reaches 1.