The number 40384
40384 is a composite number with 14 divisors. Its prime factorisation is × 631. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 631, 1262, 2524, 5048, 10096, 20192, 40384.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40384 is composite. Its prime factorisation is
- 3
The divisors add up to 80264; without 40384 itself that is 39880, so 40384 is deficient (39880 is less than 40384). Euler's totient φ(40384) = 20160 numbers up to 40384 share no factor with it.
- 4
The digits of 40384 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 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40384 = 2^{6} \times 631 \]40384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 80264 |
| Euler totient φ(n) | 20160 |
| Square | 1630867456 |
| Cube | 65860951343104 |
| Square root | 200.957707 (= 8√631) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.0384 × |
40384 in other forms
| Form | Value |
|---|---|
| In words | forty thousand three hundred and eighty-four |
| Binary (base 2) | 1001110111000000 |
| Octal (base 8) | 116700 |
| Hexadecimal (base 16) | 9DC0 |
| Base 3 | 2001101201 |
| As time | 40384 seconds = 11 h 13 min 4 s |
Is 40384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40384 ÷ 2 = 20192) | 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 (40384 ÷ 4 = 10096) | 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 1) | 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 (40384 ÷ 8 = 5048) | 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 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 40384 a prime number?
No. 40384 = × 631, so it is divisible by 2.
What are the factors of 40384?
1, 2, 4, 8, 16, 32, 64, 631, 1262, 2524, 5048, 10096, 20192, 40384.
What is 40384 in binary?
1001110111000000 (hexadecimal 9DC0, octal 116700).
What is the square root of 40384?
About 200.9577, exactly 8√631.
Is 40384 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 40384?
It is a composite number with 14 divisors.