The number 12016
12016 is a composite number with 10 divisors. Its prime factorisation is × 751. Divisors (10): 1, 2, 4, 8, 16, 751, 1502, 3004, 6008, 12016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
12016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
12016 is composite. Its prime factorisation is
- 3
The divisors add up to 23312; without 12016 itself that is 11296, so 12016 is deficient (11296 is less than 12016). Euler's totient φ(12016) = 6000 numbers up to 12016 share no factor with it.
- 4
The digits of 12016 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12016 = 2^{4} \times 751 \]12016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 23312 |
| Euler totient φ(n) | 6000 |
| Square | 144384256 |
| Cube | 1734921220096 |
| Square root | 109.617517 (= 4√751) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.2016 × |
12016 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and sixteen |
| Binary (base 2) | 10111011110000 |
| Octal (base 8) | 27360 |
| Hexadecimal (base 16) | 2EF0 |
| Base 3 | 121111001 |
| As time | 12016 seconds = 3 h 20 min 16 s |
Is 12016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12016 ÷ 2 = 6008) | 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 (12016 ÷ 4 = 3004) | 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 4) | 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 (12016 ÷ 8 = 1502) | 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 4) | 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 12016 a prime number?
No. 12016 = × 751, so it is divisible by 2.
What are the factors of 12016?
1, 2, 4, 8, 16, 751, 1502, 3004, 6008, 12016.
What is 12016 in binary?
10111011110000 (hexadecimal 2EF0, octal 27360).
What is the square root of 12016?
About 109.6175, exactly 4√751.
Is 12016 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 12016?
It is a composite number with 10 divisors.