The number 46882
46882 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2131. Divisors (8): 1, 2, 11, 22, 2131, 4262, 23441, 46882.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46882 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46882 is composite. Its prime factorisation is
- 3
The divisors add up to 76752; without 46882 itself that is 29870, so 46882 is deficient (29870 is less than 46882). Euler's totient φ(46882) = 21300 numbers up to 46882 share no factor with it.
- 4
The digits of 46882 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46882 = 2 \times 11 \times 2131 \]
46882 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 76752 |
| Euler totient φ(n) | 21300 |
| Square | 2197921924 |
| Cube | 103042975640968 |
| Square root | 216.522516 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6882 × |
46882 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and eighty-two |
| Binary (base 2) | 1011011100100010 |
| Octal (base 8) | 133442 |
| Hexadecimal (base 16) | B722 |
| Base 3 | 2101022101 |
| As time | 46882 seconds = 13 h 1 min 22 s |
Is 46882 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46882 ÷ 2 = 23441) | 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 | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 | Yes (46882 ÷ 11 = 4262) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46882 a prime number?
No. 46882 = 2 × 11 × 2131, so it is divisible by 2.
What are the factors of 46882?
1, 2, 11, 22, 2131, 4262, 23441, 46882.
What is 46882 in binary?
1011011100100010 (hexadecimal B722, octal 133442).
What is the square root of 46882?
About 216.5225.
Is 46882 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46882?
It is a composite number with 8 divisors.