The number 90489
90489 is a composite number with 16 divisors. Its prime factorisation is 3 × 7 × 31 × 139. Divisors (16): 1, 3, 7, 21, 31, 93, 139, 217, 417, 651, 973, 2919, 4309, 12927, 30163, 90489.
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How to work it out
- 1
90489 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90489 is composite. Its prime factorisation is
- 3
The divisors add up to 143360; without 90489 itself that is 52871, so 90489 is deficient (52871 is less than 90489). Euler's totient φ(90489) = 49680 numbers up to 90489 share no factor with it.
- 4
The digits of 90489 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90489 = 3 \times 7 \times 31 \times 139 \]
90489 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 143360 |
| Euler totient φ(n) | 49680 |
| Square | 8188259121 |
| Cube | 740947379600169 |
| Square root | 300.813896 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0489 × |
90489 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand four hundred and eighty-nine |
| Binary (base 2) | 10110000101111001 |
| Octal (base 8) | 260571 |
| Hexadecimal (base 16) | 16179 |
| Base 3 | 11121010110 |
| As time | 90489 seconds = 25 h 8 min 9 s |
Is 90489 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 (90489 ÷ 3 = 30163) | 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 4) | 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 (90489 ÷ 7 = 12927) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90489 a prime number?
No. 90489 = 3 × 7 × 31 × 139, so it is divisible by 3.
What are the factors of 90489?
1, 3, 7, 21, 31, 93, 139, 217, 417, 651, 973, 2919, 4309, 12927, 30163, 90489.
What is 90489 in binary?
10110000101111001 (hexadecimal 16179, octal 260571).
What is the square root of 90489?
About 300.8139.
Is 90489 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 90489?
It is a composite number with 16 divisors.