The number 46084
46084 is a composite number with 12 divisors. Its prime factorisation is × 41 × 281. Divisors (12): 1, 2, 4, 41, 82, 164, 281, 562, 1124, 11521, 23042, 46084.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46084 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46084 is composite. Its prime factorisation is
- 3
The divisors add up to 82908; without 46084 itself that is 36824, so 46084 is deficient (36824 is less than 46084). Euler's totient φ(46084) = 22400 numbers up to 46084 share no factor with it.
- 4
The digits of 46084 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46084 = 2^{2} \times 41 \times 281 \]46084 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 82908 |
| Euler totient φ(n) | 22400 |
| Square | 2123735056 |
| Cube | 97870206320704 |
| Square root | 214.671843 (= 2√11521) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6084 × |
46084 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and eighty-four |
| Binary (base 2) | 1011010000000100 |
| Octal (base 8) | 132004 |
| Hexadecimal (base 16) | B404 |
| Base 3 | 2100012211 |
| As time | 46084 seconds = 12 h 48 min 4 s |
Is 46084 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46084 ÷ 2 = 23042) | 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 (46084 ÷ 4 = 11521) | 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 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 | No (remainder 4) | 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 5) | 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 46084 a prime number?
No. 46084 = × 41 × 281, so it is divisible by 2.
What are the factors of 46084?
1, 2, 4, 41, 82, 164, 281, 562, 1124, 11521, 23042, 46084.
What is 46084 in binary?
1011010000000100 (hexadecimal B404, octal 132004).
What is the square root of 46084?
About 214.6718, exactly 2√11521.
Is 46084 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 46084?
It is a composite number with 12 divisors.