The number 48475
48475 is a composite number with 12 divisors. Its prime factorisation is × 7 × 277. Divisors (12): 1, 5, 7, 25, 35, 175, 277, 1385, 1939, 6925, 9695, 48475.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48475 is composite. Its prime factorisation is
- 3
The divisors add up to 68944; without 48475 itself that is 20469, so 48475 is deficient (20469 is less than 48475). Euler's totient φ(48475) = 33120 numbers up to 48475 share no factor with it.
- 4
The digits of 48475 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 251 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48475 = 5^{2} \times 7 \times 277 \]48475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 68944 |
| Euler totient φ(n) | 33120 |
| Square | 2349825625 |
| Cube | 113907797171875 |
| Square root | 220.170389 (= 5√1939) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 251 |
| Scientific notation | 4.8475 × |
48475 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and seventy-five |
| Binary (base 2) | 1011110101011011 |
| Octal (base 8) | 136533 |
| Hexadecimal (base 16) | BD5B |
| Base 3 | 2110111101 |
| As time | 48475 seconds = 13 h 27 min 55 s |
Is 48475 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (48475 ÷ 5 = 9695) | 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 (48475 ÷ 7 = 6925) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48475 a prime number?
No. 48475 = × 7 × 277, so it is divisible by 5.
What are the factors of 48475?
1, 5, 7, 25, 35, 175, 277, 1385, 1939, 6925, 9695, 48475.
What is 48475 in binary?
1011110101011011 (hexadecimal BD5B, octal 136533).
What is the square root of 48475?
About 220.1704, exactly 5√1939.
Is 48475 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 48475?
It is a composite number with 12 divisors.