The number 16016
16016 is a composite number with 40 divisors. Its prime factorisation is × 7 × 11 × 13. Divisors (40): 1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 44, 52, 56, 77 … 16016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 16016: a Harshad number: divisible by its digit sum 14.
- 2
16016 is composite. Its prime factorisation is
- 3
The divisors add up to 41664; without 16016 itself that is 25648, so 16016 is abundant (25648 is more than 16016). Euler's totient φ(16016) = 5760 numbers up to 16016 share no factor with it.
- 4
The digits of 16016 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16016 = 2^{4} \times 7 \times 11 \times 13 \]16016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 41664 |
| Euler totient φ(n) | 5760 |
| Square | 256512256 |
| Cube | 4108300292096 |
| Square root | 126.554336 (= 4√1001) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.6016 × |
16016 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and sixteen |
| Binary (base 2) | 11111010010000 |
| Octal (base 8) | 37220 |
| Hexadecimal (base 16) | 3E90 |
| Base 3 | 210222012 |
| As time | 16016 seconds = 4 h 26 min 56 s |
Is 16016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16016 ÷ 2 = 8008) | 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 (16016 ÷ 4 = 4004) | 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 | Yes (16016 ÷ 7 = 2288) | 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 (16016 ÷ 8 = 2002) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 | Yes (16016 ÷ 11 = 1456) | 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 16016 a prime number?
No. 16016 = × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 16016?
1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 44, 52, 56, 77, 88, 91, 104, 112, 143, 154, 176, 182, 208, 286, 308, 364, 572, 616, 728, 1001, 1144, 1232, 1456, 2002, 2288, 4004, 8008, 16016.
What is 16016 in binary?
11111010010000 (hexadecimal 3E90, octal 37220).
What is the square root of 16016?
About 126.5543, exactly 4√1001.
Is 16016 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16016?
16016 is a Harshad number: divisible by its digit sum 14.