The number 48108
48108 is a composite number with 24 divisors. Its prime factorisation is × 3 × 19 × 211. Divisors (24): 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 211, 228, 422, 633, 844 … 48108.
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How to work it out
- 1
48108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48108 is composite. Its prime factorisation is
- 3
The divisors add up to 118720; without 48108 itself that is 70612, so 48108 is abundant (70612 is more than 48108). Euler's totient φ(48108) = 15120 numbers up to 48108 share no factor with it.
- 4
The digits of 48108 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48108 = 2^{2} \times 3 \times 19 \times 211 \]48108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 118720 |
| Euler totient φ(n) | 15120 |
| Square | 2314379664 |
| Cube | 111340176875712 |
| Square root | 219.335360 (= 2√12027) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.8108 × |
48108 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and eight |
| Binary (base 2) | 1011101111101100 |
| Octal (base 8) | 135754 |
| Hexadecimal (base 16) | BBEC |
| Base 3 | 2102222210 |
| As time | 48108 seconds = 13 h 21 min 48 s |
Is 48108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48108 ÷ 2 = 24054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (48108 ÷ 3 = 16036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48108 ÷ 4 = 12027) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (48108 ÷ 6 = 8018) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (48108 ÷ 12 = 4009) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48108 a prime number?
No. 48108 = × 3 × 19 × 211, so it is divisible by 2.
What are the factors of 48108?
1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 211, 228, 422, 633, 844, 1266, 2532, 4009, 8018, 12027, 16036, 24054, 48108.
What is 48108 in binary?
1011101111101100 (hexadecimal BBEC, octal 135754).
What is the square root of 48108?
About 219.3354, exactly 2√12027.
Is 48108 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 48108?
It is a composite number with 24 divisors.