The number 48116
48116 is a composite number with 12 divisors. Its prime factorisation is × 23 × 523. Divisors (12): 1, 2, 4, 23, 46, 92, 523, 1046, 2092, 12029, 24058, 48116.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48116 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48116 is composite. Its prime factorisation is
- 3
The divisors add up to 88032; without 48116 itself that is 39916, so 48116 is deficient (39916 is less than 48116). Euler's totient φ(48116) = 22968 numbers up to 48116 share no factor with it.
- 4
The digits of 48116 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 158 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48116 = 2^{2} \times 23 \times 523 \]48116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 88032 |
| Euler totient φ(n) | 22968 |
| Square | 2315149456 |
| Cube | 111395731224896 |
| Square root | 219.353596 (= 2√12029) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 158 |
| Scientific notation | 4.8116 × |
48116 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand one hundred and sixteen |
| Binary (base 2) | 1011101111110100 |
| Octal (base 8) | 135764 |
| Hexadecimal (base 16) | BBF4 |
| Base 3 | 2110000002 |
| As time | 48116 seconds = 13 h 21 min 56 s |
Is 48116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48116 ÷ 2 = 24058) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48116 ÷ 4 = 12029) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48116 a prime number?
No. 48116 = × 23 × 523, so it is divisible by 2.
What are the factors of 48116?
1, 2, 4, 23, 46, 92, 523, 1046, 2092, 12029, 24058, 48116.
What is 48116 in binary?
1011101111110100 (hexadecimal BBF4, octal 135764).
What is the square root of 48116?
About 219.3536, exactly 2√12029.
Is 48116 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48116?
It is a composite number with 12 divisors.