The number 48165
48165 is a composite number with 24 divisors. Its prime factorisation is 3 × 5 × × 19. Divisors (24): 1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 169, 195, 247, 285, 507, 741 … 48165.
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How to work it out
- 1
48165 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48165 is composite. Its prime factorisation is
- 3
The divisors add up to 87840; without 48165 itself that is 39675, so 48165 is deficient (39675 is less than 48165). Euler's totient φ(48165) = 22464 numbers up to 48165 share no factor with it.
- 4
The digits of 48165 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 189 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48165 = 3 \times 5 \times 13^{2} \times 19 \]48165 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 87840 |
| Euler totient φ(n) | 22464 |
| Square | 2319867225 |
| Cube | 111736404892125 |
| Square root | 219.465259 (= 13√285) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 189 |
| Scientific notation | 4.8165 × |
48165 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixty-five |
| Binary (base 2) | 1011110000100101 |
| Octal (base 8) | 136045 |
| Hexadecimal (base 16) | BC25 |
| Base 3 | 2110001220 |
| As time | 48165 seconds = 13 h 22 min 45 s |
Is 48165 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 (48165 ÷ 3 = 16055) | 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 (48165 ÷ 5 = 9633) | 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 | No (remainder 5) | 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 6) | 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 48165 a prime number?
No. 48165 = 3 × 5 × × 19, so it is divisible by 3.
What are the factors of 48165?
1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 169, 195, 247, 285, 507, 741, 845, 1235, 2535, 3211, 3705, 9633, 16055, 48165.
What is 48165 in binary?
1011110000100101 (hexadecimal BC25, octal 136045).
What is the square root of 48165?
About 219.4653, exactly 13√285.
Is 48165 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 48165?
It is a composite number with 24 divisors.