The number 46766
46766 is a composite number with 8 divisors. Its prime factorisation is 2 × 67 × 349. Divisors (8): 1, 2, 67, 134, 349, 698, 23383, 46766.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46766 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46766 is composite. Its prime factorisation is
- 3
The divisors add up to 71400; without 46766 itself that is 24634, so 46766 is deficient (24634 is less than 46766). Euler's totient φ(46766) = 22968 numbers up to 46766 share no factor with it.
- 4
The digits of 46766 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 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46766 = 2 \times 67 \times 349 \]
46766 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 71400 |
| Euler totient φ(n) | 22968 |
| Square | 2187058756 |
| Cube | 102279989783096 |
| Square root | 216.254480 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 106 |
| Scientific notation | 4.6766 × |
46766 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty-six |
| Binary (base 2) | 1011011010101110 |
| Octal (base 8) | 133256 |
| Hexadecimal (base 16) | B6AE |
| Base 3 | 2101011002 |
| As time | 46766 seconds = 12 h 59 min 26 s |
Is 46766 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46766 ÷ 2 = 23383) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 6) | 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 6) | 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 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46766 a prime number?
No. 46766 = 2 × 67 × 349, so it is divisible by 2.
What are the factors of 46766?
1, 2, 67, 134, 349, 698, 23383, 46766.
What is 46766 in binary?
1011011010101110 (hexadecimal B6AE, octal 133256).
What is the square root of 46766?
About 216.2545.
Is 46766 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 46766?
It is a composite number with 8 divisors.