The number 46384
46384 is a composite number with 20 divisors. Its prime factorisation is × 13 × 223. Divisors (20): 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 223, 446, 892, 1784, 2899, 3568 … 46384.
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How to work it out
- 1
46384 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46384 is composite. Its prime factorisation is
- 3
The divisors add up to 97216; without 46384 itself that is 50832, so 46384 is abundant (50832 is more than 46384). Euler's totient φ(46384) = 21312 numbers up to 46384 share no factor with it.
- 4
The digits of 46384 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46384 = 2^{4} \times 13 \times 223 \]46384 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 97216 |
| Euler totient φ(n) | 21312 |
| Square | 2151475456 |
| Cube | 99794037551104 |
| Square root | 215.369450 (= 4√2899) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6384 × |
46384 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and eighty-four |
| Binary (base 2) | 1011010100110000 |
| Octal (base 8) | 132460 |
| Hexadecimal (base 16) | B530 |
| Base 3 | 2100121221 |
| As time | 46384 seconds = 12 h 53 min 4 s |
Is 46384 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46384 ÷ 2 = 23192) | 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 (46384 ÷ 4 = 11596) | 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 (46384 ÷ 8 = 5798) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 8) | 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 46384 a prime number?
No. 46384 = × 13 × 223, so it is divisible by 2.
What are the factors of 46384?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 223, 446, 892, 1784, 2899, 3568, 5798, 11596, 23192, 46384.
What is 46384 in binary?
1011010100110000 (hexadecimal B530, octal 132460).
What is the square root of 46384?
About 215.3695, exactly 4√2899.
Is 46384 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46384?
It is a composite number with 20 divisors.