The number 43425
43425 is a composite number with 18 divisors. Its prime factorisation is × × 193. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 193, 225, 579, 965, 1737, 2895, 4825, 8685 … 43425.
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How to work it out
- 1
What is special about 43425: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
43425 is composite. Its prime factorisation is
- 3
The divisors add up to 78182; without 43425 itself that is 34757, so 43425 is deficient (34757 is less than 43425). Euler's totient φ(43425) = 23040 numbers up to 43425 share no factor with it.
- 4
The digits of 43425 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 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43425 = 3^{2} \times 5^{2} \times 193 \]43425 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 78182 |
| Euler totient φ(n) | 23040 |
| Square | 1885730625 |
| Cube | 81887852390625 |
| Square root | 208.386660 (= 15√193) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3425 × |
43425 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and twenty-five |
| Binary (base 2) | 1010100110100001 |
| Octal (base 8) | 124641 |
| Hexadecimal (base 16) | A9A1 |
| Base 3 | 2012120100 |
| As time | 43425 seconds = 12 h 3 min 45 s |
Is 43425 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 (43425 ÷ 3 = 14475) | 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 (43425 ÷ 5 = 8685) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43425 ÷ 9 = 4825) | 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 | No (remainder 8) | 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 43425 a prime number?
No. 43425 = × × 193, so it is divisible by 3.
What are the factors of 43425?
1, 3, 5, 9, 15, 25, 45, 75, 193, 225, 579, 965, 1737, 2895, 4825, 8685, 14475, 43425.
What is 43425 in binary?
1010100110100001 (hexadecimal A9A1, octal 124641).
What is the square root of 43425?
About 208.3867, exactly 15√193.
Is 43425 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 43425?
43425 is a happy number: repeatedly adding the squares of its digits reaches 1.