The number 48225
48225 is a composite number with 12 divisors. Its prime factorisation is 3 × × 643. Divisors (12): 1, 3, 5, 15, 25, 75, 643, 1929, 3215, 9645, 16075, 48225.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48225 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48225 is composite. Its prime factorisation is
- 3
The divisors add up to 79856; without 48225 itself that is 31631, so 48225 is deficient (31631 is less than 48225). Euler's totient φ(48225) = 25680 numbers up to 48225 share no factor with it.
- 4
The digits of 48225 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48225 = 3 \times 5^{2} \times 643 \]48225 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 79856 |
| Euler totient φ(n) | 25680 |
| Square | 2325650625 |
| Cube | 112154501390625 |
| Square root | 219.601913 (= 5√1929) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8225 × |
48225 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and twenty-five |
| Binary (base 2) | 1011110001100001 |
| Octal (base 8) | 136141 |
| Hexadecimal (base 16) | BC61 |
| Base 3 | 2110011010 |
| As time | 48225 seconds = 13 h 23 min 45 s |
Is 48225 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 (48225 ÷ 3 = 16075) | 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 (48225 ÷ 5 = 9645) | 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 2) | 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 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 1) | 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 48225 a prime number?
No. 48225 = 3 × × 643, so it is divisible by 3.
What are the factors of 48225?
1, 3, 5, 15, 25, 75, 643, 1929, 3215, 9645, 16075, 48225.
What is 48225 in binary?
1011110001100001 (hexadecimal BC61, octal 136141).
What is the square root of 48225?
About 219.6019, exactly 5√1929.
Is 48225 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48225?
It is a composite number with 12 divisors.