The number 47325
47325 is a composite number with 12 divisors. Its prime factorisation is 3 × × 631. Divisors (12): 1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47325: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47325 is composite. Its prime factorisation is
- 3
The divisors add up to 78368; without 47325 itself that is 31043, so 47325 is deficient (31043 is less than 47325). Euler's totient φ(47325) = 25200 numbers up to 47325 share no factor with it.
- 4
The digits of 47325 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47325 = 3 \times 5^{2} \times 631 \]47325 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78368 |
| Euler totient φ(n) | 25200 |
| Square | 2239655625 |
| Cube | 105991702453125 |
| Square root | 217.543099 (= 5√1893) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7325 × |
47325 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and twenty-five |
| Binary (base 2) | 1011100011011101 |
| Octal (base 8) | 134335 |
| Hexadecimal (base 16) | B8DD |
| Base 3 | 2101220210 |
| As time | 47325 seconds = 13 h 8 min 45 s |
Is 47325 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 (47325 ÷ 3 = 15775) | 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 (47325 ÷ 5 = 9465) | 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 5) | 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 | No (remainder 3) | 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 47325 a prime number?
No. 47325 = 3 × × 631, so it is divisible by 3.
What are the factors of 47325?
1, 3, 5, 15, 25, 75, 631, 1893, 3155, 9465, 15775, 47325.
What is 47325 in binary?
1011100011011101 (hexadecimal B8DD, octal 134335).
What is the square root of 47325?
About 217.5431, exactly 5√1893.
Is 47325 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47325?
47325 is a happy number: repeatedly adding the squares of its digits reaches 1.