The number 46836
46836 is a composite number with 18 divisors. Its prime factorisation is × × 1301. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1301, 2602, 3903, 5204, 7806, 11709, 15612 … 46836.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46836 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46836 is composite. Its prime factorisation is
- 3
The divisors add up to 118482; without 46836 itself that is 71646, so 46836 is abundant (71646 is more than 46836). Euler's totient φ(46836) = 15600 numbers up to 46836 share no factor with it.
- 4
The digits of 46836 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 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46836 = 2^{2} \times 3^{2} \times 1301 \]46836 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 118482 |
| Euler totient φ(n) | 15600 |
| Square | 2193610896 |
| Cube | 102739959925056 |
| Square root | 216.416266 (= 6√1301) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.6836 × |
46836 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and thirty-six |
| Binary (base 2) | 1011011011110100 |
| Octal (base 8) | 133364 |
| Hexadecimal (base 16) | B6F4 |
| Base 3 | 2101020200 |
| As time | 46836 seconds = 13 h 0 min 36 s |
Is 46836 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46836 ÷ 2 = 23418) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46836 ÷ 3 = 15612) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46836 ÷ 4 = 11709) | 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 | Yes (46836 ÷ 6 = 7806) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (46836 ÷ 9 = 5204) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (46836 ÷ 12 = 3903) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46836 a prime number?
No. 46836 = × × 1301, so it is divisible by 2.
What are the factors of 46836?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1301, 2602, 3903, 5204, 7806, 11709, 15612, 23418, 46836.
What is 46836 in binary?
1011011011110100 (hexadecimal B6F4, octal 133364).
What is the square root of 46836?
About 216.4163, exactly 6√1301.
Is 46836 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 46836?
It is a composite number with 18 divisors.