The number 46716
46716 is a composite number with 24 divisors. Its prime factorisation is × 3 × 17 × 229. Divisors (24): 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 229, 458, 687, 916 … 46716.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46716 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46716 is composite. Its prime factorisation is
- 3
The divisors add up to 115920; without 46716 itself that is 69204, so 46716 is abundant (69204 is more than 46716). Euler's totient φ(46716) = 14592 numbers up to 46716 share no factor with it.
- 4
The digits of 46716 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46716 = 2^{2} \times 3 \times 17 \times 229 \]46716 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 115920 |
| Euler totient φ(n) | 14592 |
| Square | 2182384656 |
| Cube | 101952281589696 |
| Square root | 216.138844 (= 2√11679) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6716 × |
46716 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixteen |
| Binary (base 2) | 1011011001111100 |
| Octal (base 8) | 133174 |
| Hexadecimal (base 16) | B67C |
| Base 3 | 2101002020 |
| As time | 46716 seconds = 12 h 58 min 36 s |
Is 46716 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46716 ÷ 2 = 23358) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46716 ÷ 3 = 15572) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46716 ÷ 4 = 11679) | 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 | Yes (46716 ÷ 6 = 7786) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46716 ÷ 12 = 3893) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46716 a prime number?
No. 46716 = × 3 × 17 × 229, so it is divisible by 2.
What are the factors of 46716?
1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 229, 458, 687, 916, 1374, 2748, 3893, 7786, 11679, 15572, 23358, 46716.
What is 46716 in binary?
1011011001111100 (hexadecimal B67C, octal 133174).
What is the square root of 46716?
About 216.1388, exactly 2√11679.
Is 46716 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46716?
It is a composite number with 24 divisors.