The number 46916
46916 is a composite number with 12 divisors. Its prime factorisation is × 37 × 317. Divisors (12): 1, 2, 4, 37, 74, 148, 317, 634, 1268, 11729, 23458, 46916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46916 is composite. Its prime factorisation is
- 3
The divisors add up to 84588; without 46916 itself that is 37672, so 46916 is deficient (37672 is less than 46916). Euler's totient φ(46916) = 22752 numbers up to 46916 share no factor with it.
- 4
The digits of 46916 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46916 = 2^{2} \times 37 \times 317 \]46916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84588 |
| Euler totient φ(n) | 22752 |
| Square | 2201111056 |
| Cube | 103267326303296 |
| Square root | 216.601016 (= 2√11729) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6916 × |
46916 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand nine hundred and sixteen |
| Binary (base 2) | 1011011101000100 |
| Octal (base 8) | 133504 |
| Hexadecimal (base 16) | B744 |
| Base 3 | 2101100122 |
| As time | 46916 seconds = 13 h 1 min 56 s |
Is 46916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46916 ÷ 2 = 23458) | 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 | Yes (46916 ÷ 4 = 11729) | 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 2) | 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 8) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46916 a prime number?
No. 46916 = × 37 × 317, so it is divisible by 2.
What are the factors of 46916?
1, 2, 4, 37, 74, 148, 317, 634, 1268, 11729, 23458, 46916.
What is 46916 in binary?
1011011101000100 (hexadecimal B744, octal 133504).
What is the square root of 46916?
About 216.6010, exactly 2√11729.
Is 46916 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46916?
It is a composite number with 12 divisors.