The number 46816
46816 is a composite number with 48 divisors. Its prime factorisation is × 7 × 11 × 19. Divisors (48): 1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 32, 38, 44, 56, 76 … 46816.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46816 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46816 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 46816 itself that is 74144, so 46816 is abundant (74144 is more than 46816). Euler's totient φ(46816) = 17280 numbers up to 46816 share no factor with it.
- 4
The digits of 46816 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46816 = 2^{5} \times 7 \times 11 \times 19 \]46816 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 17280 |
| Square | 2191737856 |
| Cube | 102608399466496 |
| Square root | 216.370053 (= 4√2926) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6816 × |
46816 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and sixteen |
| Binary (base 2) | 1011011011100000 |
| Octal (base 8) | 133340 |
| Hexadecimal (base 16) | B6E0 |
| Base 3 | 2101012221 |
| As time | 46816 seconds = 13 h 0 min 16 s |
Is 46816 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46816 ÷ 2 = 23408) | 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 | Yes (46816 ÷ 4 = 11704) | 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 | Yes (46816 ÷ 7 = 6688) | 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 | Yes (46816 ÷ 8 = 5852) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (46816 ÷ 11 = 4256) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46816 a prime number?
No. 46816 = × 7 × 11 × 19, so it is divisible by 2.
What are the factors of 46816?
1, 2, 4, 7, 8, 11, 14, 16, 19, 22, 28, 32, 38, 44, 56, 76, 77, 88, 112, 133, 152, 154, 176, 209, 224, 266, 304, 308, 352, 418, 532, 608, 616, 836, 1064, 1232, 1463, 1672, 2128, 2464, 2926, 3344, 4256, 5852, 6688, 11704, 23408, 46816.
What is 46816 in binary?
1011011011100000 (hexadecimal B6E0, octal 133340).
What is the square root of 46816?
About 216.3701, exactly 4√2926.
Is 46816 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 46816?
It is a composite number with 48 divisors.