The number 6016
6016 is a composite number with 16 divisors. Its prime factorisation is × 47. Divisors (16): 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
6016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
6016 is composite. Its prime factorisation is
- 3
The divisors add up to 12240; without 6016 itself that is 6224, so 6016 is abundant (6224 is more than 6016). Euler's totient φ(6016) = 2944 numbers up to 6016 share no factor with it.
- 4
The digits of 6016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 6016 = 2^{7} \times 47 \]6016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12240 |
| Euler totient φ(n) | 2944 |
| Square | 36192256 |
| Cube | 217732612096 |
| Square root | 77.562878 (= 8√94) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 111 |
| Scientific notation | 6.016 × |
6016 in other forms
| Form | Value |
|---|---|
| In words | six thousand and sixteen |
| Binary (base 2) | 1011110000000 |
| Octal (base 8) | 13600 |
| Hexadecimal (base 16) | 1780 |
| Base 3 | 22020211 |
| As time | 6016 seconds = 1 h 40 min 16 s |
Is 6016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (6016 ÷ 2 = 3008) | 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 (6016 ÷ 4 = 1504) | 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 (6016 ÷ 8 = 752) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 10) | 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 6016 a prime number?
No. 6016 = × 47, so it is divisible by 2.
What are the factors of 6016?
1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016.
What is 6016 in binary?
1011110000000 (hexadecimal 1780, octal 13600).
What is the square root of 6016?
About 77.5629, exactly 8√94.
Is 6016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 6016?
It is a composite number with 16 divisors.