The number 16027
16027 is a composite number with 8 divisors. Its prime factorisation is 11 × 31 × 47. Divisors (8): 1, 11, 31, 47, 341, 517, 1457, 16027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16027 is composite. Its prime factorisation is
- 3
The divisors add up to 18432; without 16027 itself that is 2405, so 16027 is deficient (2405 is less than 16027). Euler's totient φ(16027) = 13800 numbers up to 16027 share no factor with it.
- 4
The digits of 16027 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16027 = 11 \times 31 \times 47 \]
16027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 18432 |
| Euler totient φ(n) | 13800 |
| Square | 256864729 |
| Cube | 4116771011683 |
| Square root | 126.597788 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 97 |
| Scientific notation | 1.6027 × |
16027 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty-seven |
| Binary (base 2) | 11111010011011 |
| Octal (base 8) | 37233 |
| Hexadecimal (base 16) | 3E9B |
| Base 3 | 210222121 |
| As time | 16027 seconds = 4 h 27 min 7 s |
Is 16027 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 3) | 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 1) | 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (16027 ÷ 11 = 1457) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16027 a prime number?
No. 16027 = 11 × 31 × 47, so it is divisible by 11.
What are the factors of 16027?
1, 11, 31, 47, 341, 517, 1457, 16027.
What is 16027 in binary?
11111010011011 (hexadecimal 3E9B, octal 37233).
What is the square root of 16027?
About 126.5978.
Is 16027 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 16027?
It is a composite number with 8 divisors.