The number 16017
16017 is a composite number with 8 divisors. Its prime factorisation is 3 × 19 × 281. Divisors (8): 1, 3, 19, 57, 281, 843, 5339, 16017.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16017 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16017 is composite. Its prime factorisation is
- 3
The divisors add up to 22560; without 16017 itself that is 6543, so 16017 is deficient (6543 is less than 16017). Euler's totient φ(16017) = 10080 numbers up to 16017 share no factor with it.
- 4
The digits of 16017 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16017 = 3 \times 19 \times 281 \]
16017 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 22560 |
| Euler totient φ(n) | 10080 |
| Square | 256544289 |
| Cube | 4109069876913 |
| Square root | 126.558287 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.6017 × |
16017 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and seventeen |
| Binary (base 2) | 11111010010001 |
| Octal (base 8) | 37221 |
| Hexadecimal (base 16) | 3E91 |
| Base 3 | 210222020 |
| As time | 16017 seconds = 4 h 26 min 57 s |
Is 16017 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 | Yes (16017 ÷ 3 = 5339) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16017 a prime number?
No. 16017 = 3 × 19 × 281, so it is divisible by 3.
What are the factors of 16017?
1, 3, 19, 57, 281, 843, 5339, 16017.
What is 16017 in binary?
11111010010001 (hexadecimal 3E91, octal 37221).
What is the square root of 16017?
About 126.5583.
Is 16017 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 16017?
It is a composite number with 8 divisors.