The number 46881
46881 is a composite number with 6 divisors. Its prime factorisation is × 5209. Divisors (6): 1, 3, 9, 5209, 15627, 46881.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46881 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46881 is composite. Its prime factorisation is
- 3
The divisors add up to 67730; without 46881 itself that is 20849, so 46881 is deficient (20849 is less than 46881). Euler's totient φ(46881) = 31248 numbers up to 46881 share no factor with it.
- 4
The digits of 46881 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
\[ 46881 = 3^{2} \times 5209 \]46881 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 67730 |
| Euler totient φ(n) | 31248 |
| Square | 2197828161 |
| Cube | 103036382015841 |
| Square root | 216.520207 (= 3√5209) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 132 |
| Scientific notation | 4.6881 × |
46881 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and eighty-one |
| Binary (base 2) | 1011011100100001 |
| Octal (base 8) | 133441 |
| Hexadecimal (base 16) | B721 |
| Base 3 | 2101022100 |
| As time | 46881 seconds = 13 h 1 min 21 s |
Is 46881 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 (46881 ÷ 3 = 15627) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46881 ÷ 9 = 5209) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46881 a prime number?
No. 46881 = × 5209, so it is divisible by 3.
What are the factors of 46881?
1, 3, 9, 5209, 15627, 46881.
What is 46881 in binary?
1011011100100001 (hexadecimal B721, octal 133441).
What is the square root of 46881?
About 216.5202, exactly 3√5209.
Is 46881 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46881?
It is a composite number with 6 divisors.