The number 46341
46341 is a composite number with 12 divisors. Its prime factorisation is × 19 × 271. Divisors (12): 1, 3, 9, 19, 57, 171, 271, 813, 2439, 5149, 15447, 46341.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46341 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46341 is composite. Its prime factorisation is
- 3
The divisors add up to 70720; without 46341 itself that is 24379, so 46341 is deficient (24379 is less than 46341). Euler's totient φ(46341) = 29160 numbers up to 46341 share no factor with it.
- 4
The digits of 46341 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46341 = 3^{2} \times 19 \times 271 \]46341 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70720 |
| Euler totient φ(n) | 29160 |
| Square | 2147488281 |
| Cube | 99516754429821 |
| Square root | 215.269598 (= 3√5149) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.6341 × |
46341 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand three hundred and forty-one |
| Binary (base 2) | 1011010100000101 |
| Octal (base 8) | 132405 |
| Hexadecimal (base 16) | B505 |
| Base 3 | 2100120100 |
| As time | 46341 seconds = 12 h 52 min 21 s |
Is 46341 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (46341 ÷ 3 = 15447) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (46341 ÷ 9 = 5149) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46341 a prime number?
No. 46341 = × 19 × 271, so it is divisible by 3.
What are the factors of 46341?
1, 3, 9, 19, 57, 171, 271, 813, 2439, 5149, 15447, 46341.
What is 46341 in binary?
1011010100000101 (hexadecimal B505, octal 132405).
What is the square root of 46341?
About 215.2696, exactly 3√5149.
Is 46341 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46341?
It is a composite number with 12 divisors.