The number 43225
43225 is a composite number with 24 divisors. Its prime factorisation is × 7 × 13 × 19. Divisors (24): 1, 5, 7, 13, 19, 25, 35, 65, 91, 95, 133, 175, 247, 325, 455, 475 … 43225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43225 is composite. Its prime factorisation is
- 3
The divisors add up to 69440; without 43225 itself that is 26215, so 43225 is deficient (26215 is less than 43225). Euler's totient φ(43225) = 25920 numbers up to 43225 share no factor with it.
- 4
The digits of 43225 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43225 = 5^{2} \times 7 \times 13 \times 19 \]43225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 69440 |
| Euler totient φ(n) | 25920 |
| Square | 1868400625 |
| Cube | 80761617015625 |
| Square root | 207.906229 (= 5√1729) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3225 × |
43225 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand two hundred and twenty-five |
| Binary (base 2) | 1010100011011001 |
| Octal (base 8) | 124331 |
| Hexadecimal (base 16) | A8D9 |
| Base 3 | 2012021221 |
| As time | 43225 seconds = 12 h 0 min 25 s |
Is 43225 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 | No (remainder 1) | 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 (43225 ÷ 5 = 8645) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43225 ÷ 7 = 6175) | 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 | No (remainder 7) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43225 a prime number?
No. 43225 = × 7 × 13 × 19, so it is divisible by 5.
What are the factors of 43225?
1, 5, 7, 13, 19, 25, 35, 65, 91, 95, 133, 175, 247, 325, 455, 475, 665, 1235, 1729, 2275, 3325, 6175, 8645, 43225.
What is 43225 in binary?
1010100011011001 (hexadecimal A8D9, octal 124331).
What is the square root of 43225?
About 207.9062, exactly 5√1729.
Is 43225 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 43225?
It is a composite number with 24 divisors.