The number 46016
46016 is a composite number with 14 divisors. Its prime factorisation is × 719. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 719, 1438, 2876, 5752, 11504, 23008, 46016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46016 is composite. Its prime factorisation is
- 3
The divisors add up to 91440; without 46016 itself that is 45424, so 46016 is deficient (45424 is less than 46016). Euler's totient φ(46016) = 22976 numbers up to 46016 share no factor with it.
- 4
The digits of 46016 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46016 = 2^{6} \times 719 \]46016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 91440 |
| Euler totient φ(n) | 22976 |
| Square | 2117472256 |
| Cube | 97437603332096 |
| Square root | 214.513403 (= 8√719) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.6016 × |
46016 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand and sixteen |
| Binary (base 2) | 1011001111000000 |
| Octal (base 8) | 131700 |
| Hexadecimal (base 16) | B3C0 |
| Base 3 | 2100010022 |
| As time | 46016 seconds = 12 h 46 min 56 s |
Is 46016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46016 ÷ 2 = 23008) | 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 (46016 ÷ 4 = 11504) | 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 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 | Yes (46016 ÷ 8 = 5752) | 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 3) | 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 46016 a prime number?
No. 46016 = × 719, so it is divisible by 2.
What are the factors of 46016?
1, 2, 4, 8, 16, 32, 64, 719, 1438, 2876, 5752, 11504, 23008, 46016.
What is 46016 in binary?
1011001111000000 (hexadecimal B3C0, octal 131700).
What is the square root of 46016?
About 214.5134, exactly 8√719.
Is 46016 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 46016?
It is a composite number with 14 divisors.