The number 90108
90108 is a composite number with 18 divisors. Its prime factorisation is × × 2503. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2503, 5006, 7509, 10012, 15018, 22527, 30036 … 90108.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90108: a Harshad number: divisible by its digit sum 18.
- 2
90108 is composite. Its prime factorisation is
- 3
The divisors add up to 227864; without 90108 itself that is 137756, so 90108 is abundant (137756 is more than 90108). Euler's totient φ(90108) = 30024 numbers up to 90108 share no factor with it.
- 4
The digits of 90108 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 208 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90108 = 2^{2} \times 3^{2} \times 2503 \]90108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 227864 |
| Euler totient φ(n) | 30024 |
| Square | 8119451664 |
| Cube | 731627550539712 |
| Square root | 300.179946 (= 6√2503) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 208 |
| Scientific notation | 9.0108 × |
90108 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and eight |
| Binary (base 2) | 10101111111111100 |
| Octal (base 8) | 257774 |
| Hexadecimal (base 16) | 15FFC |
| Base 3 | 11120121100 |
| As time | 90108 seconds = 25 h 1 min 48 s |
Is 90108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90108 ÷ 2 = 45054) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90108 ÷ 3 = 30036) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (90108 ÷ 4 = 22527) | 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 (90108 ÷ 6 = 15018) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90108 ÷ 9 = 10012) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (90108 ÷ 12 = 7509) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90108 a prime number?
No. 90108 = × × 2503, so it is divisible by 2.
What are the factors of 90108?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2503, 5006, 7509, 10012, 15018, 22527, 30036, 45054, 90108.
What is 90108 in binary?
10101111111111100 (hexadecimal 15FFC, octal 257774).
What is the square root of 90108?
About 300.1799, exactly 6√2503.
Is 90108 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90108?
90108 is a Harshad number: divisible by its digit sum 18.