The number 48105
48105 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1069. Divisors (12): 1, 3, 5, 9, 15, 45, 1069, 3207, 5345, 9621, 16035, 48105.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48105 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48105 is composite. Its prime factorisation is
- 3
The divisors add up to 83460; without 48105 itself that is 35355, so 48105 is deficient (35355 is less than 48105). Euler's totient φ(48105) = 25632 numbers up to 48105 share no factor with it.
- 4
The digits of 48105 add up to 18, 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
\[ 48105 = 3^{2} \times 5 \times 1069 \]48105 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 83460 |
| Euler totient φ(n) | 25632 |
| Square | 2314091025 |
| Cube | 111319348757625 |
| Square root | 219.328521 (= 3√5345) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 96 |
| Scientific notation | 4.8105 × |
48105 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and five |
| Binary (base 2) | 1011101111101001 |
| Octal (base 8) | 135751 |
| Hexadecimal (base 16) | BBE9 |
| Base 3 | 2102222200 |
| As time | 48105 seconds = 13 h 21 min 45 s |
Is 48105 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 (48105 ÷ 3 = 16035) | 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 (48105 ÷ 5 = 9621) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (48105 ÷ 9 = 5345) | 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 2) | 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 48105 a prime number?
No. 48105 = × 5 × 1069, so it is divisible by 3.
What are the factors of 48105?
1, 3, 5, 9, 15, 45, 1069, 3207, 5345, 9621, 16035, 48105.
What is 48105 in binary?
1011101111101001 (hexadecimal BBE9, octal 135751).
What is the square root of 48105?
About 219.3285, exactly 3√5345.
Is 48105 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48105?
It is a composite number with 12 divisors.