The number 48195
48195 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (40): 1, 3, 5, 7, 9, 15, 17, 21, 27, 35, 45, 51, 63, 81, 85, 105 … 48195.
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How to work it out
- 1
What is special about 48195: a Harshad number: divisible by its digit sum 27.
- 2
48195 is composite. Its prime factorisation is
- 3
The divisors add up to 104544; without 48195 itself that is 56349, so 48195 is abundant (56349 is more than 48195). Euler's totient φ(48195) = 20736 numbers up to 48195 share no factor with it.
- 4
The digits of 48195 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48195 = 3^{4} \times 5 \times 7 \times 17 \]48195 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 104544 |
| Euler totient φ(n) | 20736 |
| Square | 2322758025 |
| Cube | 111945323014875 |
| Square root | 219.533597 (= 9√595) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8195 × |
48195 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and ninety-five |
| Binary (base 2) | 1011110001000011 |
| Octal (base 8) | 136103 |
| Hexadecimal (base 16) | BC43 |
| Base 3 | 2110010000 |
| As time | 48195 seconds = 13 h 23 min 15 s |
Is 48195 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 (48195 ÷ 3 = 16065) | 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 (48195 ÷ 5 = 9639) | 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 (48195 ÷ 7 = 6885) | 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 | Yes (48195 ÷ 9 = 5355) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48195 a prime number?
No. 48195 = × 5 × 7 × 17, so it is divisible by 3.
What are the factors of 48195?
1, 3, 5, 7, 9, 15, 17, 21, 27, 35, 45, 51, 63, 81, 85, 105, 119, 135, 153, 189, 255, 315, 357, 405, 459, 567, 595, 765, 945, 1071, 1377, 1785, 2295, 2835, 3213, 5355, 6885, 9639, 16065, 48195.
What is 48195 in binary?
1011110001000011 (hexadecimal BC43, octal 136103).
What is the square root of 48195?
About 219.5336, exactly 9√595.
Is 48195 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 48195?
48195 is a Harshad number: divisible by its digit sum 27.