The number 46782
46782 is a composite number with 24 divisors. Its prime factorisation is 2 × × 23 × 113. Divisors (24): 1, 2, 3, 6, 9, 18, 23, 46, 69, 113, 138, 207, 226, 339, 414, 678 … 46782.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46782 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46782 is composite. Its prime factorisation is
- 3
The divisors add up to 106704; without 46782 itself that is 59922, so 46782 is abundant (59922 is more than 46782). Euler's totient φ(46782) = 14784 numbers up to 46782 share no factor with it.
- 4
The digits of 46782 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46782 = 2 \times 3^{2} \times 23 \times 113 \]46782 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 106704 |
| Euler totient φ(n) | 14784 |
| Square | 2188555524 |
| Cube | 102385004523768 |
| Square root | 216.291470 (= 3√5198) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6782 × |
46782 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand seven hundred and eighty-two |
| Binary (base 2) | 1011011010111110 |
| Octal (base 8) | 133276 |
| Hexadecimal (base 16) | B6BE |
| Base 3 | 2101011200 |
| As time | 46782 seconds = 12 h 59 min 42 s |
Is 46782 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46782 ÷ 2 = 23391) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46782 ÷ 3 = 15594) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (46782 ÷ 6 = 7797) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46782 ÷ 9 = 5198) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46782 a prime number?
No. 46782 = 2 × × 23 × 113, so it is divisible by 2.
What are the factors of 46782?
1, 2, 3, 6, 9, 18, 23, 46, 69, 113, 138, 207, 226, 339, 414, 678, 1017, 2034, 2599, 5198, 7797, 15594, 23391, 46782.
What is 46782 in binary?
1011011010111110 (hexadecimal B6BE, octal 133276).
What is the square root of 46782?
About 216.2915, exactly 3√5198.
Is 46782 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46782?
It is a composite number with 24 divisors.