The number 46966
46966 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 1021. Divisors (8): 1, 2, 23, 46, 1021, 2042, 23483, 46966.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46966 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46966 is composite. Its prime factorisation is
- 3
The divisors add up to 73584; without 46966 itself that is 26618, so 46966 is deficient (26618 is less than 46966). Euler's totient φ(46966) = 22440 numbers up to 46966 share no factor with it.
- 4
The digits of 46966 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46966 = 2 \times 23 \times 1021 \]
46966 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73584 |
| Euler totient φ(n) | 22440 |
| Square | 2205805156 |
| Cube | 103597844956696 |
| Square root | 216.716405 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6966 × |
46966 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixty-six |
| Binary (base 2) | 1011011101110110 |
| Octal (base 8) | 133566 |
| Hexadecimal (base 16) | B776 |
| Base 3 | 2101102111 |
| As time | 46966 seconds = 13 h 2 min 46 s |
Is 46966 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46966 ÷ 2 = 23483) | 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 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 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 6) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46966 a prime number?
No. 46966 = 2 × 23 × 1021, so it is divisible by 2.
What are the factors of 46966?
1, 2, 23, 46, 1021, 2042, 23483, 46966.
What is 46966 in binary?
1011011101110110 (hexadecimal B776, octal 133566).
What is the square root of 46966?
About 216.7164.
Is 46966 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46966?
It is a composite number with 8 divisors.