The number 46827
46827 is a composite number with 18 divisors. Its prime factorisation is × × 43. Divisors (18): 1, 3, 9, 11, 33, 43, 99, 121, 129, 363, 387, 473, 1089, 1419, 4257, 5203 … 46827.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46827 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46827 is composite. Its prime factorisation is
- 3
The divisors add up to 76076; without 46827 itself that is 29249, so 46827 is deficient (29249 is less than 46827). Euler's totient φ(46827) = 27720 numbers up to 46827 share no factor with it.
- 4
The digits of 46827 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 132 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46827 = 3^{2} \times 11^{2} \times 43 \]46827 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 76076 |
| Euler totient φ(n) | 27720 |
| Square | 2192767929 |
| Cube | 102680743811283 |
| Square root | 216.395471 (= 33√43) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6827 × |
46827 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-seven |
| Binary (base 2) | 1011011011101011 |
| Octal (base 8) | 133353 |
| Hexadecimal (base 16) | B6EB |
| Base 3 | 2101020100 |
| As time | 46827 seconds = 13 h 0 min 27 s |
Is 46827 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 (46827 ÷ 3 = 15609) | 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 | No (remainder 4) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46827 ÷ 9 = 5203) | 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 | Yes (46827 ÷ 11 = 4257) | 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 46827 a prime number?
No. 46827 = × × 43, so it is divisible by 3.
What are the factors of 46827?
1, 3, 9, 11, 33, 43, 99, 121, 129, 363, 387, 473, 1089, 1419, 4257, 5203, 15609, 46827.
What is 46827 in binary?
1011011011101011 (hexadecimal B6EB, octal 133353).
What is the square root of 46827?
About 216.3955, exactly 33√43.
Is 46827 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46827?
It is a composite number with 18 divisors.