The number 46413
46413 is a composite number with 12 divisors. Its prime factorisation is × 191. Divisors (12): 1, 3, 9, 27, 81, 191, 243, 573, 1719, 5157, 15471, 46413.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46413 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46413 is composite. Its prime factorisation is
- 3
The divisors add up to 69888; without 46413 itself that is 23475, so 46413 is deficient (23475 is less than 46413). Euler's totient φ(46413) = 30780 numbers up to 46413 share no factor with it.
- 4
The digits of 46413 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46413 = 3^{5} \times 191 \]46413 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69888 |
| Euler totient φ(n) | 30780 |
| Square | 2154166569 |
| Cube | 99981332966997 |
| Square root | 215.436766 (= 9√573) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.6413 × |
46413 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and thirteen |
| Binary (base 2) | 1011010101001101 |
| Octal (base 8) | 132515 |
| Hexadecimal (base 16) | B54D |
| Base 3 | 2100200000 |
| As time | 46413 seconds = 12 h 53 min 33 s |
Is 46413 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 (46413 ÷ 3 = 15471) | 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 3) | 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 3) | 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 (46413 ÷ 9 = 5157) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46413 a prime number?
No. 46413 = × 191, so it is divisible by 3.
What are the factors of 46413?
1, 3, 9, 27, 81, 191, 243, 573, 1719, 5157, 15471, 46413.
What is 46413 in binary?
1011010101001101 (hexadecimal B54D, octal 132515).
What is the square root of 46413?
About 215.4368, exactly 9√573.
Is 46413 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 46413?
It is a composite number with 12 divisors.