The number 4016
4016 is a composite number with 10 divisors. Its prime factorisation is × 251. Divisors (10): 1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4016 is composite. Its prime factorisation is
- 3
The divisors add up to 7812; without 4016 itself that is 3796, so 4016 is deficient (3796 is less than 4016). Euler's totient φ(4016) = 2000 numbers up to 4016 share no factor with it.
- 4
The digits of 4016 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4016 = 2^{4} \times 251 \]4016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 7812 |
| Euler totient φ(n) | 2000 |
| Square | 16128256 |
| Cube | 64771076096 |
| Square root | 63.371918 (= 4√251) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 4.016 × |
4016 in other forms
| Form | Value |
|---|---|
| In words | four thousand and sixteen |
| Binary (base 2) | 111110110000 |
| Octal (base 8) | 7660 |
| Hexadecimal (base 16) | FB0 |
| Base 3 | 12111202 |
| As time | 4016 seconds = 1 h 6 min 56 s |
Is 4016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4016 ÷ 2 = 2008) | 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 (4016 ÷ 4 = 1004) | 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 | Yes (4016 ÷ 8 = 502) | 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 1) | 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 4016 a prime number?
No. 4016 = × 251, so it is divisible by 2.
What are the factors of 4016?
1, 2, 4, 8, 16, 251, 502, 1004, 2008, 4016.
What is 4016 in binary?
111110110000 (hexadecimal FB0, octal 7660).
What is the square root of 4016?
About 63.3719, exactly 4√251.
Is 4016 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 4016?
It is a composite number with 10 divisors.