The number 48825
48825 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 31. Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 31, 35, 45, 63, 75, 93, 105, 155 … 48825.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48825 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48825 is composite. Its prime factorisation is
- 3
The divisors add up to 103168; without 48825 itself that is 54343, so 48825 is abundant (54343 is more than 48825). Euler's totient φ(48825) = 21600 numbers up to 48825 share no factor with it.
- 4
The digits of 48825 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48825 = 3^{2} \times 5^{2} \times 7 \times 31 \]48825 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 103168 |
| Euler totient φ(n) | 21600 |
| Square | 2383880625 |
| Cube | 116392971515625 |
| Square root | 220.963798 (= 15√217) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8825 × |
48825 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand eight hundred and twenty-five |
| Binary (base 2) | 1011111010111001 |
| Octal (base 8) | 137271 |
| Hexadecimal (base 16) | BEB9 |
| Base 3 | 2110222100 |
| As time | 48825 seconds = 13 h 33 min 45 s |
Is 48825 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 (48825 ÷ 3 = 16275) | 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 (48825 ÷ 5 = 9765) | 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 | Yes (48825 ÷ 7 = 6975) | 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 (48825 ÷ 9 = 5425) | 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 7) | 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 48825 a prime number?
No. 48825 = × × 7 × 31, so it is divisible by 3.
What are the factors of 48825?
1, 3, 5, 7, 9, 15, 21, 25, 31, 35, 45, 63, 75, 93, 105, 155, 175, 217, 225, 279, 315, 465, 525, 651, 775, 1085, 1395, 1575, 1953, 2325, 3255, 5425, 6975, 9765, 16275, 48825.
What is 48825 in binary?
1011111010111001 (hexadecimal BEB9, octal 137271).
What is the square root of 48825?
About 220.9638, exactly 15√217.
Is 48825 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48825?
It is a composite number with 36 divisors.