The number 16024
16024 is a composite number with 8 divisors. Its prime factorisation is × 2003. Divisors (8): 1, 2, 4, 8, 2003, 4006, 8012, 16024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16024 is composite. Its prime factorisation is
- 3
The divisors add up to 30060; without 16024 itself that is 14036, so 16024 is deficient (14036 is less than 16024). Euler's totient φ(16024) = 8008 numbers up to 16024 share no factor with it.
- 4
The digits of 16024 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16024 = 2^{3} \times 2003 \]16024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30060 |
| Euler totient φ(n) | 8008 |
| Square | 256768576 |
| Cube | 4114459661824 |
| Square root | 126.585939 (= 2√4006) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.6024 × |
16024 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand and twenty-four |
| Binary (base 2) | 11111010011000 |
| Octal (base 8) | 37230 |
| Hexadecimal (base 16) | 3E98 |
| Base 3 | 210222111 |
| As time | 16024 seconds = 4 h 27 min 4 s |
Is 16024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16024 ÷ 2 = 8012) | 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 (16024 ÷ 4 = 4006) | 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 | No (remainder 4) | 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 | Yes (16024 ÷ 8 = 2003) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 8) | 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 16024 a prime number?
No. 16024 = × 2003, so it is divisible by 2.
What are the factors of 16024?
1, 2, 4, 8, 2003, 4006, 8012, 16024.
What is 16024 in binary?
11111010011000 (hexadecimal 3E98, octal 37230).
What is the square root of 16024?
About 126.5859, exactly 2√4006.
Is 16024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 16024?
It is a composite number with 8 divisors.