The number 90018
90018 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1667. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1667, 3334, 5001, 10002, 15003, 30006, 45009, 90018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90018: a Harshad number: divisible by its digit sum 18.
- 2
90018 is composite. Its prime factorisation is
- 3
The divisors add up to 200160; without 90018 itself that is 110142, so 90018 is abundant (110142 is more than 90018). Euler's totient φ(90018) = 29988 numbers up to 90018 share no factor with it.
- 4
The digits of 90018 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90018 = 2 \times 3^{3} \times 1667 \]90018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 200160 |
| Euler totient φ(n) | 29988 |
| Square | 8103240324 |
| Cube | 729437487485832 |
| Square root | 300.029999 (= 3√10002) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.0018 × |
90018 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and eighteen |
| Binary (base 2) | 10101111110100010 |
| Octal (base 8) | 257642 |
| Hexadecimal (base 16) | 15FA2 |
| Base 3 | 11120111000 |
| As time | 90018 seconds = 25 h 0 min 18 s |
Is 90018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90018 ÷ 2 = 45009) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90018 ÷ 3 = 30006) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (90018 ÷ 6 = 15003) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90018 ÷ 9 = 10002) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90018 a prime number?
No. 90018 = 2 × × 1667, so it is divisible by 2.
What are the factors of 90018?
1, 2, 3, 6, 9, 18, 27, 54, 1667, 3334, 5001, 10002, 15003, 30006, 45009, 90018.
What is 90018 in binary?
10101111110100010 (hexadecimal 15FA2, octal 257642).
What is the square root of 90018?
About 300.0300, exactly 3√10002.
Is 90018 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90018?
90018 is a Harshad number: divisible by its digit sum 18.