The number 7424
7424 is a composite number with 18 divisors. Its prime factorisation is × 29. Divisors (18): 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856 … 7424.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7424 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7424 is composite. Its prime factorisation is
- 3
The divisors add up to 15330; without 7424 itself that is 7906, so 7424 is abundant (7906 is more than 7424). Euler's totient φ(7424) = 3584 numbers up to 7424 share no factor with it.
- 4
The digits of 7424 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7424 = 2^{8} \times 29 \]7424 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 15330 |
| Euler totient φ(n) | 3584 |
| Square | 55115776 |
| Cube | 409179521024 |
| Square root | 86.162637 (= 16√29) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 7.424 × |
7424 in other forms
| Form | Value |
|---|---|
| In words | seven thousand four hundred and twenty-four |
| Binary (base 2) | 1110100000000 |
| Octal (base 8) | 16400 |
| Hexadecimal (base 16) | 1D00 |
| Base 3 | 101011222 |
| As time | 7424 seconds = 2 h 3 min 44 s |
Is 7424 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7424 ÷ 2 = 3712) | 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 (7424 ÷ 4 = 1856) | 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 4) | 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 (7424 ÷ 8 = 928) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 10) | 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 7424 a prime number?
No. 7424 = × 29, so it is divisible by 2.
What are the factors of 7424?
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 928, 1856, 3712, 7424.
What is 7424 in binary?
1110100000000 (hexadecimal 1D00, octal 16400).
What is the square root of 7424?
About 86.1626, exactly 16√29.
Is 7424 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 7424?
It is a composite number with 18 divisors.