The number 8024
8024 is a composite number with 16 divisors. Its prime factorisation is × 17 × 59. Divisors (16): 1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
8024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
8024 is composite. Its prime factorisation is
- 3
The divisors add up to 16200; without 8024 itself that is 8176, so 8024 is abundant (8176 is more than 8024). Euler's totient φ(8024) = 3712 numbers up to 8024 share no factor with it.
- 4
The digits of 8024 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8024 = 2^{3} \times 17 \times 59 \]8024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 16200 |
| Euler totient φ(n) | 3712 |
| Square | 64384576 |
| Cube | 516621837824 |
| Square root | 89.576783 (= 2√2006) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 44 |
| Scientific notation | 8.024 × |
8024 in other forms
| Form | Value |
|---|---|
| In words | eight thousand and twenty-four |
| Binary (base 2) | 1111101011000 |
| Octal (base 8) | 17530 |
| Hexadecimal (base 16) | 1F58 |
| Base 3 | 102000012 |
| As time | 8024 seconds = 2 h 13 min 44 s |
Is 8024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (8024 ÷ 2 = 4012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (8024 ÷ 4 = 2006) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (8024 ÷ 8 = 1003) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8024 a prime number?
No. 8024 = × 17 × 59, so it is divisible by 2.
What are the factors of 8024?
1, 2, 4, 8, 17, 34, 59, 68, 118, 136, 236, 472, 1003, 2006, 4012, 8024.
What is 8024 in binary?
1111101011000 (hexadecimal 1F58, octal 17530).
What is the square root of 8024?
About 89.5768, exactly 2√2006.
Is 8024 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 8024?
It is a composite number with 16 divisors.