The number 46812
46812 is a composite number with 24 divisors. Its prime factorisation is × 3 × 47 × 83. Divisors (24): 1, 2, 3, 4, 6, 12, 47, 83, 94, 141, 166, 188, 249, 282, 332, 498 … 46812.
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How to work it out
- 1
46812 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46812 is composite. Its prime factorisation is
- 3
The divisors add up to 112896; without 46812 itself that is 66084, so 46812 is abundant (66084 is more than 46812). Euler's totient φ(46812) = 15088 numbers up to 46812 share no factor with it.
- 4
The digits of 46812 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46812 = 2^{2} \times 3 \times 47 \times 83 \]46812 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 112896 |
| Euler totient φ(n) | 15088 |
| Square | 2191363344 |
| Cube | 102582100859328 |
| Square root | 216.360810 (= 2√11703) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6812 × |
46812 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twelve |
| Binary (base 2) | 1011011011011100 |
| Octal (base 8) | 133334 |
| Hexadecimal (base 16) | B6DC |
| Base 3 | 2101012210 |
| As time | 46812 seconds = 13 h 0 min 12 s |
Is 46812 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46812 ÷ 2 = 23406) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46812 ÷ 3 = 15604) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46812 ÷ 4 = 11703) | 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 (46812 ÷ 6 = 7802) | 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 4) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46812 ÷ 12 = 3901) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46812 a prime number?
No. 46812 = × 3 × 47 × 83, so it is divisible by 2.
What are the factors of 46812?
1, 2, 3, 4, 6, 12, 47, 83, 94, 141, 166, 188, 249, 282, 332, 498, 564, 996, 3901, 7802, 11703, 15604, 23406, 46812.
What is 46812 in binary?
1011011011011100 (hexadecimal B6DC, octal 133334).
What is the square root of 46812?
About 216.3608, exactly 2√11703.
Is 46812 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46812?
It is a composite number with 24 divisors.