The number 90117
90117 is a composite number with 24 divisors. Its prime factorisation is × 17 × 19 × 31. Divisors (24): 1, 3, 9, 17, 19, 31, 51, 57, 93, 153, 171, 279, 323, 527, 589, 969 … 90117.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90117 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90117 is composite. Its prime factorisation is
- 3
The divisors add up to 149760; without 90117 itself that is 59643, so 90117 is deficient (59643 is less than 90117). Euler's totient φ(90117) = 51840 numbers up to 90117 share no factor with it.
- 4
The digits of 90117 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 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90117 = 3^{2} \times 17 \times 19 \times 31 \]90117 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 149760 |
| Euler totient φ(n) | 51840 |
| Square | 8121073689 |
| Cube | 731846797631613 |
| Square root | 300.194937 (= 3√10013) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 9.0117 × |
90117 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and seventeen |
| Binary (base 2) | 10110000000000101 |
| Octal (base 8) | 260005 |
| Hexadecimal (base 16) | 16005 |
| Base 3 | 11120121200 |
| As time | 90117 seconds = 25 h 1 min 57 s |
Is 90117 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 (90117 ÷ 3 = 30039) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90117 ÷ 9 = 10013) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90117 a prime number?
No. 90117 = × 17 × 19 × 31, so it is divisible by 3.
What are the factors of 90117?
1, 3, 9, 17, 19, 31, 51, 57, 93, 153, 171, 279, 323, 527, 589, 969, 1581, 1767, 2907, 4743, 5301, 10013, 30039, 90117.
What is 90117 in binary?
10110000000000101 (hexadecimal 16005, octal 260005).
What is the square root of 90117?
About 300.1949, exactly 3√10013.
Is 90117 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90117?
It is a composite number with 24 divisors.