The number 46382
46382 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3313. Divisors (8): 1, 2, 7, 14, 3313, 6626, 23191, 46382.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 46382: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
46382 is composite. Its prime factorisation is
- 3
The divisors add up to 79536; without 46382 itself that is 33154, so 46382 is deficient (33154 is less than 46382). Euler's totient φ(46382) = 19872 numbers up to 46382 share no factor with it.
- 4
The digits of 46382 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46382 = 2 \times 7 \times 3313 \]
46382 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 79536 |
| Euler totient φ(n) | 19872 |
| Square | 2151289924 |
| Cube | 99781129254968 |
| Square root | 215.364807 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6382 × |
46382 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and eighty-two |
| Binary (base 2) | 1011010100101110 |
| Octal (base 8) | 132456 |
| Hexadecimal (base 16) | B52E |
| Base 3 | 2100121212 |
| As time | 46382 seconds = 12 h 53 min 2 s |
Is 46382 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46382 ÷ 2 = 23191) | 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 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (46382 ÷ 7 = 6626) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46382 a prime number?
No. 46382 = 2 × 7 × 3313, so it is divisible by 2.
What are the factors of 46382?
1, 2, 7, 14, 3313, 6626, 23191, 46382.
What is 46382 in binary?
1011010100101110 (hexadecimal B52E, octal 132456).
What is the square root of 46382?
About 215.3648.
Is 46382 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 46382?
46382 is a happy number: repeatedly adding the squares of its digits reaches 1.