The number 46828
46828 is a composite number with 12 divisors. Its prime factorisation is × 23 × 509. Divisors (12): 1, 2, 4, 23, 46, 92, 509, 1018, 2036, 11707, 23414, 46828.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46828 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46828 is composite. Its prime factorisation is
- 3
The divisors add up to 85680; without 46828 itself that is 38852, so 46828 is deficient (38852 is less than 46828). Euler's totient φ(46828) = 22352 numbers up to 46828 share no factor with it.
- 4
The digits of 46828 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46828 = 2^{2} \times 23 \times 509 \]46828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 85680 |
| Euler totient φ(n) | 22352 |
| Square | 2192861584 |
| Cube | 102687322255552 |
| Square root | 216.397782 (= 2√11707) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6828 × |
46828 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty-eight |
| Binary (base 2) | 1011011011101100 |
| Octal (base 8) | 133354 |
| Hexadecimal (base 16) | B6EC |
| Base 3 | 2101020101 |
| As time | 46828 seconds = 13 h 0 min 28 s |
Is 46828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46828 ÷ 2 = 23414) | 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 | Yes (46828 ÷ 4 = 11707) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 5) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46828 a prime number?
No. 46828 = × 23 × 509, so it is divisible by 2.
What are the factors of 46828?
1, 2, 4, 23, 46, 92, 509, 1018, 2036, 11707, 23414, 46828.
What is 46828 in binary?
1011011011101100 (hexadecimal B6EC, octal 133354).
What is the square root of 46828?
About 216.3978, exactly 2√11707.
Is 46828 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 46828?
It is a composite number with 12 divisors.