The number 43431
43431 is a composite number with 8 divisors. Its prime factorisation is 3 × 31 × 467. Divisors (8): 1, 3, 31, 93, 467, 1401, 14477, 43431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43431 is composite. Its prime factorisation is
- 3
The divisors add up to 59904; without 43431 itself that is 16473, so 43431 is deficient (16473 is less than 43431). Euler's totient φ(43431) = 27960 numbers up to 43431 share no factor with it.
- 4
The digits of 43431 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 163 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43431 = 3 \times 31 \times 467 \]
43431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59904 |
| Euler totient φ(n) | 27960 |
| Square | 1886251761 |
| Cube | 81921800231991 |
| Square root | 208.401056 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 163 |
| Scientific notation | 4.3431 × |
43431 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand four hundred and thirty-one |
| Binary (base 2) | 1010100110100111 |
| Octal (base 8) | 124647 |
| Hexadecimal (base 16) | A9A7 |
| Base 3 | 2012120120 |
| As time | 43431 seconds = 12 h 3 min 51 s |
Is 43431 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 (43431 ÷ 3 = 14477) | 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 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 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 43431 a prime number?
No. 43431 = 3 × 31 × 467, so it is divisible by 3.
What are the factors of 43431?
1, 3, 31, 93, 467, 1401, 14477, 43431.
What is 43431 in binary?
1010100110100111 (hexadecimal A9A7, octal 124647).
What is the square root of 43431?
About 208.4011.
Is 43431 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 43431?
It is a composite number with 8 divisors.