The number 46784
46784 is a composite number with 28 divisors. Its prime factorisation is × 17 × 43. Divisors (28): 1, 2, 4, 8, 16, 17, 32, 34, 43, 64, 68, 86, 136, 172, 272, 344 … 46784.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46784 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46784 is composite. Its prime factorisation is
- 3
The divisors add up to 100584; without 46784 itself that is 53800, so 46784 is abundant (53800 is more than 46784). Euler's totient φ(46784) = 21504 numbers up to 46784 share no factor with it.
- 4
The digits of 46784 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46784 = 2^{6} \times 17 \times 43 \]46784 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 100584 |
| Euler totient φ(n) | 21504 |
| Square | 2188742656 |
| Cube | 102398136418304 |
| Square root | 216.296093 (= 8√731) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6784 × |
46784 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and eighty-four |
| Binary (base 2) | 1011011011000000 |
| Octal (base 8) | 133300 |
| Hexadecimal (base 16) | B6C0 |
| Base 3 | 2101011202 |
| As time | 46784 seconds = 12 h 59 min 44 s |
Is 46784 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46784 ÷ 2 = 23392) | 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 (46784 ÷ 4 = 11696) | 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 3) | 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 (46784 ÷ 8 = 5848) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 1) | 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 46784 a prime number?
No. 46784 = × 17 × 43, so it is divisible by 2.
What are the factors of 46784?
1, 2, 4, 8, 16, 17, 32, 34, 43, 64, 68, 86, 136, 172, 272, 344, 544, 688, 731, 1088, 1376, 1462, 2752, 2924, 5848, 11696, 23392, 46784.
What is 46784 in binary?
1011011011000000 (hexadecimal B6C0, octal 133300).
What is the square root of 46784?
About 216.2961, exactly 8√731.
Is 46784 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46784?
It is a composite number with 28 divisors.