The number 4384
4384 is a composite number with 12 divisors. Its prime factorisation is × 137. Divisors (12): 1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4384 is composite. Its prime factorisation is
- 3
The divisors add up to 8694; without 4384 itself that is 4310, so 4384 is deficient (4310 is less than 4384). Euler's totient φ(4384) = 2176 numbers up to 4384 share no factor with it.
- 4
The digits of 4384 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 95 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4384 = 2^{5} \times 137 \]4384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 8694 |
| Euler totient φ(n) | 2176 |
| Square | 19219456 |
| Cube | 84258095104 |
| Square root | 66.211781 (= 4√274) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 95 |
| Scientific notation | 4.384 × |
4384 in other forms
| Form | Value |
|---|---|
| In words | four thousand three hundred and eighty-four |
| Binary (base 2) | 1000100100000 |
| Octal (base 8) | 10440 |
| Hexadecimal (base 16) | 1120 |
| Base 3 | 20000101 |
| As time | 4384 seconds = 1 h 13 min 4 s |
Is 4384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4384 ÷ 2 = 2192) | 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 (4384 ÷ 4 = 1096) | 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 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 (4384 ÷ 8 = 548) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 4384 a prime number?
No. 4384 = × 137, so it is divisible by 2.
What are the factors of 4384?
1, 2, 4, 8, 16, 32, 137, 274, 548, 1096, 2192, 4384.
What is 4384 in binary?
1000100100000 (hexadecimal 1120, octal 10440).
What is the square root of 4384?
About 66.2118, exactly 4√274.
Is 4384 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 4384?
It is a composite number with 12 divisors.