The number 90243
90243 is a composite number with 12 divisors. Its prime factorisation is × 37 × 271. Divisors (12): 1, 3, 9, 37, 111, 271, 333, 813, 2439, 10027, 30081, 90243.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90243 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90243 is composite. Its prime factorisation is
- 3
The divisors add up to 134368; without 90243 itself that is 44125, so 90243 is deficient (44125 is less than 90243). Euler's totient φ(90243) = 58320 numbers up to 90243 share no factor with it.
- 4
The digits of 90243 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 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90243 = 3^{2} \times 37 \times 271 \]90243 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 134368 |
| Euler totient φ(n) | 58320 |
| Square | 8143799049 |
| Cube | 734920857578907 |
| Square root | 300.404727 (= 3√10027) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0243 × |
90243 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand two hundred and forty-three |
| Binary (base 2) | 10110000010000011 |
| Octal (base 8) | 260203 |
| Hexadecimal (base 16) | 16083 |
| Base 3 | 11120210100 |
| As time | 90243 seconds = 25 h 4 min 3 s |
Is 90243 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 (90243 ÷ 3 = 30081) | 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 6) | 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 | Yes (90243 ÷ 9 = 10027) | 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 10) | 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 90243 a prime number?
No. 90243 = × 37 × 271, so it is divisible by 3.
What are the factors of 90243?
1, 3, 9, 37, 111, 271, 333, 813, 2439, 10027, 30081, 90243.
What is 90243 in binary?
10110000010000011 (hexadecimal 16083, octal 260203).
What is the square root of 90243?
About 300.4047, exactly 3√10027.
Is 90243 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90243?
It is a composite number with 12 divisors.