The number 46696
46696 is a composite number with 16 divisors. Its prime factorisation is × 13 × 449. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 449, 898, 1796, 3592, 5837, 11674, 23348, 46696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46696 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46696 is composite. Its prime factorisation is
- 3
The divisors add up to 94500; without 46696 itself that is 47804, so 46696 is abundant (47804 is more than 46696). Euler's totient φ(46696) = 21504 numbers up to 46696 share no factor with it.
- 4
The digits of 46696 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46696 = 2^{3} \times 13 \times 449 \]46696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 94500 |
| Euler totient φ(n) | 21504 |
| Square | 2180516416 |
| Cube | 101821394561536 |
| Square root | 216.092573 (= 2√11674) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.6696 × |
46696 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand six hundred and ninety-six |
| Binary (base 2) | 1011011001101000 |
| Octal (base 8) | 133150 |
| Hexadecimal (base 16) | B668 |
| Base 3 | 2101001111 |
| As time | 46696 seconds = 12 h 58 min 16 s |
Is 46696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46696 ÷ 2 = 23348) | 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 (46696 ÷ 4 = 11674) | 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 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 | Yes (46696 ÷ 8 = 5837) | 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 1) | 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 46696 a prime number?
No. 46696 = × 13 × 449, so it is divisible by 2.
What are the factors of 46696?
1, 2, 4, 8, 13, 26, 52, 104, 449, 898, 1796, 3592, 5837, 11674, 23348, 46696.
What is 46696 in binary?
1011011001101000 (hexadecimal B668, octal 133150).
What is the square root of 46696?
About 216.0926, exactly 2√11674.
Is 46696 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 46696?
It is a composite number with 16 divisors.