The number 46443
46443 is a composite number with 8 divisors. Its prime factorisation is 3 × 113 × 137. Divisors (8): 1, 3, 113, 137, 339, 411, 15481, 46443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46443 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46443 is composite. Its prime factorisation is
- 3
The divisors add up to 62928; without 46443 itself that is 16485, so 46443 is deficient (16485 is less than 46443). Euler's totient φ(46443) = 30464 numbers up to 46443 share no factor with it.
- 4
The digits of 46443 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 282 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46443 = 3 \times 113 \times 137 \]
46443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62928 |
| Euler totient φ(n) | 30464 |
| Square | 2156952249 |
| Cube | 100175333300307 |
| Square root | 215.506380 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 282 |
| Scientific notation | 4.6443 × |
46443 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty-three |
| Binary (base 2) | 1011010101101011 |
| Octal (base 8) | 132553 |
| Hexadecimal (base 16) | B56B |
| Base 3 | 2100201010 |
| As time | 46443 seconds = 12 h 54 min 3 s |
Is 46443 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 (46443 ÷ 3 = 15481) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 46443 a prime number?
No. 46443 = 3 × 113 × 137, so it is divisible by 3.
What are the factors of 46443?
1, 3, 113, 137, 339, 411, 15481, 46443.
What is 46443 in binary?
1011010101101011 (hexadecimal B56B, octal 132553).
What is the square root of 46443?
About 215.5064.
Is 46443 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 46443?
It is a composite number with 8 divisors.