The number 46767
46767 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 17 × 131. Divisors (16): 1, 3, 7, 17, 21, 51, 119, 131, 357, 393, 917, 2227, 2751, 6681, 15589, 46767.
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How to work it out
- 1
46767 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46767 is composite. Its prime factorisation is
- 3
The divisors add up to 76032; without 46767 itself that is 29265, so 46767 is deficient (29265 is less than 46767). Euler's totient φ(46767) = 24960 numbers up to 46767 share no factor with it.
- 4
The digits of 46767 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46767 = 3 \times 7 \times 17 \times 131 \]
46767 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 76032 |
| Euler totient φ(n) | 24960 |
| Square | 2187152289 |
| Cube | 102286551099663 |
| Square root | 216.256792 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.6767 × |
46767 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and sixty-seven |
| Binary (base 2) | 1011011010101111 |
| Octal (base 8) | 133257 |
| Hexadecimal (base 16) | B6AF |
| Base 3 | 2101011010 |
| As time | 46767 seconds = 12 h 59 min 27 s |
Is 46767 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46767 ÷ 3 = 15589) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46767 ÷ 7 = 6681) | 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 7) | 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46767 a prime number?
No. 46767 = 3 × 7 × 17 × 131, so it is divisible by 3.
What are the factors of 46767?
1, 3, 7, 17, 21, 51, 119, 131, 357, 393, 917, 2227, 2751, 6681, 15589, 46767.
What is 46767 in binary?
1011011010101111 (hexadecimal B6AF, octal 133257).
What is the square root of 46767?
About 216.2568.
Is 46767 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 46767?
It is a composite number with 16 divisors.