The number 90027
90027 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1429. Divisors (12): 1, 3, 7, 9, 21, 63, 1429, 4287, 10003, 12861, 30009, 90027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90027 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90027 is composite. Its prime factorisation is
- 3
The divisors add up to 148720; without 90027 itself that is 58693, so 90027 is deficient (58693 is less than 90027). Euler's totient φ(90027) = 51408 numbers up to 90027 share no factor with it.
- 4
The digits of 90027 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 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90027 = 3^{2} \times 7 \times 1429 \]90027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 148720 |
| Euler totient φ(n) | 51408 |
| Square | 8104860729 |
| Cube | 729656296849683 |
| Square root | 300.044997 (= 3√10003) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 71 |
| Scientific notation | 9.0027 × |
90027 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and twenty-seven |
| Binary (base 2) | 10101111110101011 |
| Octal (base 8) | 257653 |
| Hexadecimal (base 16) | 15FAB |
| Base 3 | 11120111100 |
| As time | 90027 seconds = 25 h 0 min 27 s |
Is 90027 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 (90027 ÷ 3 = 30009) | 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 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 | Yes (90027 ÷ 7 = 12861) | 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 (90027 ÷ 9 = 10003) | 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 3) | 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 90027 a prime number?
No. 90027 = × 7 × 1429, so it is divisible by 3.
What are the factors of 90027?
1, 3, 7, 9, 21, 63, 1429, 4287, 10003, 12861, 30009, 90027.
What is 90027 in binary?
10101111110101011 (hexadecimal 15FAB, octal 257653).
What is the square root of 90027?
About 300.0450, exactly 3√10003.
Is 90027 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90027?
It is a composite number with 12 divisors.