The number 46820
46820 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2341. Divisors (12): 1, 2, 4, 5, 10, 20, 2341, 4682, 9364, 11705, 23410, 46820.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46820: a Harshad number: divisible by its digit sum 20.
- 2
46820 is composite. Its prime factorisation is
- 3
The divisors add up to 98364; without 46820 itself that is 51544, so 46820 is abundant (51544 is more than 46820). Euler's totient φ(46820) = 18720 numbers up to 46820 share no factor with it.
- 4
The digits of 46820 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46820 = 2^{2} \times 5 \times 2341 \]46820 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 98364 |
| Euler totient φ(n) | 18720 |
| Square | 2192112400 |
| Cube | 102634702568000 |
| Square root | 216.379297 (= 2√11705) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.682 × |
46820 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand eight hundred and twenty |
| Binary (base 2) | 1011011011100100 |
| Octal (base 8) | 133344 |
| Hexadecimal (base 16) | B6E4 |
| Base 3 | 2101020002 |
| As time | 46820 seconds = 13 h 0 min 20 s |
Is 46820 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46820 ÷ 2 = 23410) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (46820 ÷ 4 = 11705) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (46820 ÷ 5 = 9364) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (46820 ÷ 10 = 4682) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46820 a prime number?
No. 46820 = × 5 × 2341, so it is divisible by 2.
What are the factors of 46820?
1, 2, 4, 5, 10, 20, 2341, 4682, 9364, 11705, 23410, 46820.
What is 46820 in binary?
1011011011100100 (hexadecimal B6E4, octal 133344).
What is the square root of 46820?
About 216.3793, exactly 2√11705.
Is 46820 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 46820?
46820 is a Harshad number: divisible by its digit sum 20.