The number 16014
16014 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 17 × 157. Divisors (16): 1, 2, 3, 6, 17, 34, 51, 102, 157, 314, 471, 942, 2669, 5338, 8007, 16014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16014 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16014 is composite. Its prime factorisation is
- 3
The divisors add up to 34128; without 16014 itself that is 18114, so 16014 is abundant (18114 is more than 16014). Euler's totient φ(16014) = 4992 numbers up to 16014 share no factor with it.
- 4
The digits of 16014 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16014 = 2 \times 3 \times 17 \times 157 \]
16014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 34128 |
| Euler totient φ(n) | 4992 |
| Square | 256448196 |
| Cube | 4106761410744 |
| Square root | 126.546434 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6014 × |
16014 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and fourteen |
| Binary (base 2) | 11111010001110 |
| Octal (base 8) | 37216 |
| Hexadecimal (base 16) | 3E8E |
| Base 3 | 210222010 |
| As time | 16014 seconds = 4 h 26 min 54 s |
Is 16014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16014 ÷ 2 = 8007) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (16014 ÷ 3 = 5338) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (16014 ÷ 6 = 2669) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16014 a prime number?
No. 16014 = 2 × 3 × 17 × 157, so it is divisible by 2.
What are the factors of 16014?
1, 2, 3, 6, 17, 34, 51, 102, 157, 314, 471, 942, 2669, 5338, 8007, 16014.
What is 16014 in binary?
11111010001110 (hexadecimal 3E8E, octal 37216).
What is the square root of 16014?
About 126.5464.
Is 16014 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 16014?
It is a composite number with 16 divisors.