The number 73431
73431 is a composite number with 12 divisors. Its prime factorisation is × 41 × 199. Divisors (12): 1, 3, 9, 41, 123, 199, 369, 597, 1791, 8159, 24477, 73431.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73431 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73431 is composite. Its prime factorisation is
- 3
The divisors add up to 109200; without 73431 itself that is 35769, so 73431 is deficient (35769 is less than 73431). Euler's totient φ(73431) = 47520 numbers up to 73431 share no factor with it.
- 4
The digits of 73431 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73431 = 3^{2} \times 41 \times 199 \]73431 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 109200 |
| Euler totient φ(n) | 47520 |
| Square | 5392111761 |
| Cube | 395948158721991 |
| Square root | 270.981549 (= 3√8159) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3431 × |
73431 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and thirty-one |
| Binary (base 2) | 10001111011010111 |
| Octal (base 8) | 217327 |
| Hexadecimal (base 16) | 11ED7 |
| Base 3 | 10201201200 |
| As time | 73431 seconds = 20 h 23 min 51 s |
Is 73431 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 (73431 ÷ 3 = 24477) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73431 ÷ 9 = 8159) | 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 6) | 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 73431 a prime number?
No. 73431 = × 41 × 199, so it is divisible by 3.
What are the factors of 73431?
1, 3, 9, 41, 123, 199, 369, 597, 1791, 8159, 24477, 73431.
What is 73431 in binary?
10001111011010111 (hexadecimal 11ED7, octal 217327).
What is the square root of 73431?
About 270.9815, exactly 3√8159.
Is 73431 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73431?
It is a composite number with 12 divisors.