The number 48016
48016 is a composite number with 10 divisors. Its prime factorisation is × 3001. Divisors (10): 1, 2, 4, 8, 16, 3001, 6002, 12004, 24008, 48016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48016 is composite. Its prime factorisation is
- 3
The divisors add up to 93062; without 48016 itself that is 45046, so 48016 is deficient (45046 is less than 48016). Euler's totient φ(48016) = 24000 numbers up to 48016 share no factor with it.
- 4
The digits of 48016 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48016 = 2^{4} \times 3001 \]48016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 93062 |
| Euler totient φ(n) | 24000 |
| Square | 2305536256 |
| Cube | 110702628868096 |
| Square root | 219.125535 (= 4√3001) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8016 × |
48016 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and sixteen |
| Binary (base 2) | 1011101110010000 |
| Octal (base 8) | 135620 |
| Hexadecimal (base 16) | BB90 |
| Base 3 | 2102212101 |
| As time | 48016 seconds = 13 h 20 min 16 s |
Is 48016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48016 ÷ 2 = 24008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (48016 ÷ 4 = 12004) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (48016 ÷ 8 = 6002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48016 a prime number?
No. 48016 = × 3001, so it is divisible by 2.
What are the factors of 48016?
1, 2, 4, 8, 16, 3001, 6002, 12004, 24008, 48016.
What is 48016 in binary?
1011101110010000 (hexadecimal BB90, octal 135620).
What is the square root of 48016?
About 219.1255, exactly 4√3001.
Is 48016 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48016?
It is a composite number with 10 divisors.