The number 46473
46473 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2213. Divisors (8): 1, 3, 7, 21, 2213, 6639, 15491, 46473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46473 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46473 is composite. Its prime factorisation is
- 3
The divisors add up to 70848; without 46473 itself that is 24375, so 46473 is deficient (24375 is less than 46473). Euler's totient φ(46473) = 26544 numbers up to 46473 share no factor with it.
- 4
The digits of 46473 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46473 = 3 \times 7 \times 2213 \]
46473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70848 |
| Euler totient φ(n) | 26544 |
| Square | 2159739729 |
| Cube | 100369584425817 |
| Square root | 215.575973 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.6473 × |
46473 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and seventy-three |
| Binary (base 2) | 1011010110001001 |
| Octal (base 8) | 132611 |
| Hexadecimal (base 16) | B589 |
| Base 3 | 2100202020 |
| As time | 46473 seconds = 12 h 54 min 33 s |
Is 46473 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 (46473 ÷ 3 = 15491) | 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 | Yes (46473 ÷ 7 = 6639) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 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 46473 a prime number?
No. 46473 = 3 × 7 × 2213, so it is divisible by 3.
What are the factors of 46473?
1, 3, 7, 21, 2213, 6639, 15491, 46473.
What is 46473 in binary?
1011010110001001 (hexadecimal B589, octal 132611).
What is the square root of 46473?
About 215.5760.
Is 46473 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 46473?
It is a composite number with 8 divisors.