The number 46684
46684 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1061. Divisors (12): 1, 2, 4, 11, 22, 44, 1061, 2122, 4244, 11671, 23342, 46684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46684 is composite. Its prime factorisation is
- 3
The divisors add up to 89208; without 46684 itself that is 42524, so 46684 is deficient (42524 is less than 46684). Euler's totient φ(46684) = 21200 numbers up to 46684 share no factor with it.
- 4
The digits of 46684 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46684 = 2^{2} \times 11 \times 1061 \]46684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 89208 |
| Euler totient φ(n) | 21200 |
| Square | 2179395856 |
| Cube | 101742916141504 |
| Square root | 216.064805 (= 2√11671) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6684 × |
46684 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and eighty-four |
| Binary (base 2) | 1011011001011100 |
| Octal (base 8) | 133134 |
| Hexadecimal (base 16) | B65C |
| Base 3 | 2101001001 |
| As time | 46684 seconds = 12 h 58 min 4 s |
Is 46684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46684 ÷ 2 = 23342) | 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 (46684 ÷ 4 = 11671) | 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 | No (remainder 4) | 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 | Yes (46684 ÷ 11 = 4244) | 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 46684 a prime number?
No. 46684 = × 11 × 1061, so it is divisible by 2.
What are the factors of 46684?
1, 2, 4, 11, 22, 44, 1061, 2122, 4244, 11671, 23342, 46684.
What is 46684 in binary?
1011011001011100 (hexadecimal B65C, octal 133134).
What is the square root of 46684?
About 216.0648, exactly 2√11671.
Is 46684 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46684?
It is a composite number with 12 divisors.