The number 73843
73843 is a composite number with 12 divisors. Its prime factorisation is × 11 × 137. Divisors (12): 1, 7, 11, 49, 77, 137, 539, 959, 1507, 6713, 10549, 73843.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73843 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73843 is composite. Its prime factorisation is
- 3
The divisors add up to 94392; without 73843 itself that is 20549, so 73843 is deficient (20549 is less than 73843). Euler's totient φ(73843) = 57120 numbers up to 73843 share no factor with it.
- 4
The digits of 73843 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73843 = 7^{2} \times 11 \times 137 \]73843 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94392 |
| Euler totient φ(n) | 57120 |
| Square | 5452788649 |
| Cube | 402650272208107 |
| Square root | 271.740685 (= 7√1507) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.3843 × |
73843 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and forty-three |
| Binary (base 2) | 10010000001110011 |
| Octal (base 8) | 220163 |
| Hexadecimal (base 16) | 12073 |
| Base 3 | 10202021221 |
| As time | 73843 seconds = 20 h 30 min 43 s |
Is 73843 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73843 ÷ 7 = 10549) | 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 7) | 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 | Yes (73843 ÷ 11 = 6713) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73843 a prime number?
No. 73843 = × 11 × 137, so it is divisible by 7.
What are the factors of 73843?
1, 7, 11, 49, 77, 137, 539, 959, 1507, 6713, 10549, 73843.
What is 73843 in binary?
10010000001110011 (hexadecimal 12073, octal 220163).
What is the square root of 73843?
About 271.7407, exactly 7√1507.
Is 73843 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73843?
It is a composite number with 12 divisors.