The number 46416
46416 is a composite number with 20 divisors. Its prime factorisation is × 3 × 967. Divisors (20): 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 967, 1934, 2901, 3868, 5802, 7736 … 46416.
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How to work it out
- 1
46416 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46416 is composite. Its prime factorisation is
- 3
The divisors add up to 120032; without 46416 itself that is 73616, so 46416 is abundant (73616 is more than 46416). Euler's totient φ(46416) = 15456 numbers up to 46416 share no factor with it.
- 4
The digits of 46416 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46416 = 2^{4} \times 3 \times 967 \]46416 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 120032 |
| Euler totient φ(n) | 15456 |
| Square | 2154445056 |
| Cube | 100000721719296 |
| Square root | 215.443728 (= 4√2901) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.6416 × |
46416 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and sixteen |
| Binary (base 2) | 1011010101010000 |
| Octal (base 8) | 132520 |
| Hexadecimal (base 16) | B550 |
| Base 3 | 2100200010 |
| As time | 46416 seconds = 12 h 53 min 36 s |
Is 46416 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46416 ÷ 2 = 23208) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46416 ÷ 3 = 15472) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46416 ÷ 4 = 11604) | 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 (46416 ÷ 6 = 7736) | 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 (46416 ÷ 8 = 5802) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46416 ÷ 12 = 3868) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46416 a prime number?
No. 46416 = × 3 × 967, so it is divisible by 2.
What are the factors of 46416?
1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 967, 1934, 2901, 3868, 5802, 7736, 11604, 15472, 23208, 46416.
What is 46416 in binary?
1011010101010000 (hexadecimal B550, octal 132520).
What is the square root of 46416?
About 215.4437, exactly 4√2901.
Is 46416 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46416?
It is a composite number with 20 divisors.