The number 16012
16012 is a composite number with 6 divisors. Its prime factorisation is × 4003. Divisors (6): 1, 2, 4, 4003, 8006, 16012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16012 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16012 is composite. Its prime factorisation is
- 3
The divisors add up to 28028; without 16012 itself that is 12016, so 16012 is deficient (12016 is less than 16012). Euler's totient φ(16012) = 8004 numbers up to 16012 share no factor with it.
- 4
The digits of 16012 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 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16012 = 2^{2} \times 4003 \]16012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 28028 |
| Euler totient φ(n) | 8004 |
| Square | 256384144 |
| Cube | 4105222913728 |
| Square root | 126.538532 (= 2√4003) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.6012 × |
16012 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twelve |
| Binary (base 2) | 11111010001100 |
| Octal (base 8) | 37214 |
| Hexadecimal (base 16) | 3E8C |
| Base 3 | 210222001 |
| As time | 16012 seconds = 4 h 26 min 52 s |
Is 16012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16012 ÷ 2 = 8006) | 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 (16012 ÷ 4 = 4003) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 16012 a prime number?
No. 16012 = × 4003, so it is divisible by 2.
What are the factors of 16012?
1, 2, 4, 4003, 8006, 16012.
What is 16012 in binary?
11111010001100 (hexadecimal 3E8C, octal 37214).
What is the square root of 16012?
About 126.5385, exactly 2√4003.
Is 16012 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 16012?
It is a composite number with 6 divisors.