The number 9016
9016 is a composite number with 24 divisors. Its prime factorisation is × × 23. Divisors (24): 1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196 … 9016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
9016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
9016 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 9016 itself that is 11504, so 9016 is abundant (11504 is more than 9016). Euler's totient φ(9016) = 3696 numbers up to 9016 share no factor with it.
- 4
The digits of 9016 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 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9016 = 2^{3} \times 7^{2} \times 23 \]9016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 3696 |
| Square | 81288256 |
| Cube | 732894916096 |
| Square root | 94.952620 (= 14√46) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 140 |
| Scientific notation | 9.016 × |
9016 in other forms
| Form | Value |
|---|---|
| In words | nine thousand and sixteen |
| Binary (base 2) | 10001100111000 |
| Octal (base 8) | 21470 |
| Hexadecimal (base 16) | 2338 |
| Base 3 | 110100221 |
| As time | 9016 seconds = 2 h 30 min 16 s |
Is 9016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (9016 ÷ 2 = 4508) | 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 (9016 ÷ 4 = 2254) | 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 | Yes (9016 ÷ 7 = 1288) | 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 (9016 ÷ 8 = 1127) | 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 6) | 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 9016 a prime number?
No. 9016 = × × 23, so it is divisible by 2.
What are the factors of 9016?
1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 392, 644, 1127, 1288, 2254, 4508, 9016.
What is 9016 in binary?
10001100111000 (hexadecimal 2338, octal 21470).
What is the square root of 9016?
About 94.9526, exactly 14√46.
Is 9016 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 9016?
It is a composite number with 24 divisors.