The number 46585
46585 is a composite number with 16 divisors. Its prime factorisation is 5 × 7 × . Divisors (16): 1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 1331, 4235, 6655, 9317, 46585.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46585 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46585 is composite. Its prime factorisation is
- 3
The divisors add up to 70272; without 46585 itself that is 23687, so 46585 is deficient (23687 is less than 46585). Euler's totient φ(46585) = 29040 numbers up to 46585 share no factor with it.
- 4
The digits of 46585 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 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46585 = 5 \times 7 \times 11^{3} \]46585 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70272 |
| Euler totient φ(n) | 29040 |
| Square | 2170162225 |
| Cube | 101097007251625 |
| Square root | 215.835586 (= 11√385) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6585 × |
46585 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand five hundred and eighty-five |
| Binary (base 2) | 1011010111111001 |
| Octal (base 8) | 132771 |
| Hexadecimal (base 16) | B5F9 |
| Base 3 | 2100220101 |
| As time | 46585 seconds = 12 h 56 min 25 s |
Is 46585 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46585 ÷ 5 = 9317) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46585 ÷ 7 = 6655) | 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 1) | 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 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (46585 ÷ 11 = 4235) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46585 a prime number?
No. 46585 = 5 × 7 × , so it is divisible by 5.
What are the factors of 46585?
1, 5, 7, 11, 35, 55, 77, 121, 385, 605, 847, 1331, 4235, 6655, 9317, 46585.
What is 46585 in binary?
1011010111111001 (hexadecimal B5F9, octal 132771).
What is the square root of 46585?
About 215.8356, exactly 11√385.
Is 46585 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46585?
It is a composite number with 16 divisors.