The number 7024
7024 is a composite number with 10 divisors. Its prime factorisation is × 439. Divisors (10): 1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7024 is composite. Its prime factorisation is
- 3
The divisors add up to 13640; without 7024 itself that is 6616, so 7024 is deficient (6616 is less than 7024). Euler's totient φ(7024) = 3504 numbers up to 7024 share no factor with it.
- 4
The digits of 7024 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 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7024 = 2^{4} \times 439 \]7024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 13640 |
| Euler totient φ(n) | 3504 |
| Square | 49336576 |
| Cube | 346540109824 |
| Square root | 83.809307 (= 4√439) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.024 × |
7024 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and twenty-four |
| Binary (base 2) | 1101101110000 |
| Octal (base 8) | 15560 |
| Hexadecimal (base 16) | 1B70 |
| Base 3 | 100122011 |
| As time | 7024 seconds = 1 h 57 min 4 s |
Is 7024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7024 ÷ 2 = 3512) | 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 (7024 ÷ 4 = 1756) | 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 3) | 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 (7024 ÷ 8 = 878) | 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 6) | 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 7024 a prime number?
No. 7024 = × 439, so it is divisible by 2.
What are the factors of 7024?
1, 2, 4, 8, 16, 439, 878, 1756, 3512, 7024.
What is 7024 in binary?
1101101110000 (hexadecimal 1B70, octal 15560).
What is the square root of 7024?
About 83.8093, exactly 4√439.
Is 7024 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 7024?
It is a composite number with 10 divisors.