The number 48125
48125 is a composite number with 20 divisors. Its prime factorisation is × 7 × 11. Divisors (20): 1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 625, 875, 1375, 1925 … 48125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48125 is composite. Its prime factorisation is
- 3
The divisors add up to 74976; without 48125 itself that is 26851, so 48125 is deficient (26851 is less than 48125). Euler's totient φ(48125) = 30000 numbers up to 48125 share no factor with it.
- 4
The digits of 48125 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48125 = 5^{4} \times 7 \times 11 \]48125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 74976 |
| Euler totient φ(n) | 30000 |
| Square | 2316015625 |
| Cube | 111458251953125 |
| Square root | 219.374110 (= 25√77) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8125 × |
48125 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and twenty-five |
| Binary (base 2) | 1011101111111101 |
| Octal (base 8) | 135775 |
| Hexadecimal (base 16) | BBFD |
| Base 3 | 2110000102 |
| As time | 48125 seconds = 13 h 22 min 5 s |
Is 48125 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 2) | 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 (48125 ÷ 5 = 9625) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48125 ÷ 7 = 6875) | 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 2) | 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 | Yes (48125 ÷ 11 = 4375) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48125 a prime number?
No. 48125 = × 7 × 11, so it is divisible by 5.
What are the factors of 48125?
1, 5, 7, 11, 25, 35, 55, 77, 125, 175, 275, 385, 625, 875, 1375, 1925, 4375, 6875, 9625, 48125.
What is 48125 in binary?
1011101111111101 (hexadecimal BBFD, octal 135775).
What is the square root of 48125?
About 219.3741, exactly 25√77.
Is 48125 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48125?
It is a composite number with 20 divisors.