The number 90024
90024 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 31. Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88 … 90024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90024 is composite. Its prime factorisation is
- 3
The divisors add up to 255360; without 90024 itself that is 165336, so 90024 is abundant (165336 is more than 90024). Euler's totient φ(90024) = 26400 numbers up to 90024 share no factor with it.
- 4
The digits of 90024 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 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90024 = 2^{3} \times 3 \times 11^{2} \times 31 \]90024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 255360 |
| Euler totient φ(n) | 26400 |
| Square | 8104320576 |
| Cube | 729583355533824 |
| Square root | 300.039997 (= 22√186) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 177 |
| Scientific notation | 9.0024 × |
90024 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and twenty-four |
| Binary (base 2) | 10101111110101000 |
| Octal (base 8) | 257650 |
| Hexadecimal (base 16) | 15FA8 |
| Base 3 | 11120111020 |
| As time | 90024 seconds = 25 h 0 min 24 s |
Is 90024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90024 ÷ 2 = 45012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90024 ÷ 3 = 30008) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (90024 ÷ 4 = 22506) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (90024 ÷ 6 = 15004) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (90024 ÷ 8 = 11253) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (90024 ÷ 11 = 8184) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (90024 ÷ 12 = 7502) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90024 a prime number?
No. 90024 = × 3 × × 31, so it is divisible by 2.
What are the factors of 90024?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 31, 33, 44, 62, 66, 88, 93, 121, 124, 132, 186, 242, 248, 264, 341, 363, 372, 484, 682, 726, 744, 968, 1023, 1364, 1452, 2046, 2728, 2904, 3751, 4092, 7502, 8184, 11253, 15004, 22506, 30008, 45012, 90024.
What is 90024 in binary?
10101111110101000 (hexadecimal 15FA8, octal 257650).
What is the square root of 90024?
About 300.0400, exactly 22√186.
Is 90024 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 90024?
It is a composite number with 48 divisors.