The number 7384
7384 is a composite number with 16 divisors. Its prime factorisation is × 13 × 71. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
7384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
7384 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 7384 itself that is 7736, so 7384 is abundant (7736 is more than 7384). Euler's totient φ(7384) = 3360 numbers up to 7384 share no factor with it.
- 4
The digits of 7384 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7384 = 2^{3} \times 13 \times 71 \]7384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 3360 |
| Square | 54523456 |
| Cube | 402601199104 |
| Square root | 85.930204 (= 2√1846) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 70 |
| Scientific notation | 7.384 × |
7384 in other forms
| Form | Value |
|---|---|
| In words | seven thousand three hundred and eighty-four |
| Binary (base 2) | 1110011011000 |
| Octal (base 8) | 16330 |
| Hexadecimal (base 16) | 1CD8 |
| Base 3 | 101010111 |
| As time | 7384 seconds = 2 h 3 min 4 s |
Is 7384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (7384 ÷ 2 = 3692) | 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 (7384 ÷ 4 = 1846) | 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 6) | 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 (7384 ÷ 8 = 923) | 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 3) | 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 7384 a prime number?
No. 7384 = × 13 × 71, so it is divisible by 2.
What are the factors of 7384?
1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384.
What is 7384 in binary?
1110011011000 (hexadecimal 1CD8, octal 16330).
What is the square root of 7384?
About 85.9302, exactly 2√1846.
Is 7384 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 7384?
It is a composite number with 16 divisors.