The number 48175
48175 is a composite number with 12 divisors. Its prime factorisation is × 41 × 47. Divisors (12): 1, 5, 25, 41, 47, 205, 235, 1025, 1175, 1927, 9635, 48175.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48175: a Harshad number: divisible by its digit sum 25.
- 2
48175 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 48175 itself that is 14321, so 48175 is deficient (14321 is less than 48175). Euler's totient φ(48175) = 36800 numbers up to 48175 share no factor with it.
- 4
The digits of 48175 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48175 = 5^{2} \times 41 \times 47 \]48175 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 36800 |
| Square | 2320830625 |
| Cube | 111806015359375 |
| Square root | 219.488041 (= 5√1927) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8175 × |
48175 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and seventy-five |
| Binary (base 2) | 1011110000101111 |
| Octal (base 8) | 136057 |
| Hexadecimal (base 16) | BC2F |
| Base 3 | 2110002021 |
| As time | 48175 seconds = 13 h 22 min 55 s |
Is 48175 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 (48175 ÷ 5 = 9635) | 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 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 6) | 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 48175 a prime number?
No. 48175 = × 41 × 47, so it is divisible by 5.
What are the factors of 48175?
1, 5, 25, 41, 47, 205, 235, 1025, 1175, 1927, 9635, 48175.
What is 48175 in binary?
1011110000101111 (hexadecimal BC2F, octal 136057).
What is the square root of 48175?
About 219.4880, exactly 5√1927.
Is 48175 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 48175?
48175 is a Harshad number: divisible by its digit sum 25.