The number 90321
90321 is a composite number with 32 divisors. Its prime factorisation is 3 × 7 × 11 × 17 × 23. Divisors (32): 1, 3, 7, 11, 17, 21, 23, 33, 51, 69, 77, 119, 161, 187, 231, 253 … 90321.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90321 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90321 is composite. Its prime factorisation is
- 3
The divisors add up to 165888; without 90321 itself that is 75567, so 90321 is deficient (75567 is less than 90321). Euler's totient φ(90321) = 42240 numbers up to 90321 share no factor with it.
- 4
The digits of 90321 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90321 = 3 \times 7 \times 11 \times 17 \times 23 \]
90321 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 165888 |
| Euler totient φ(n) | 42240 |
| Square | 8157883041 |
| Cube | 736828154146161 |
| Square root | 300.534524 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 45 |
| Scientific notation | 9.0321 × |
90321 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand three hundred and twenty-one |
| Binary (base 2) | 10110000011010001 |
| Octal (base 8) | 260321 |
| Hexadecimal (base 16) | 160D1 |
| Base 3 | 11120220020 |
| As time | 90321 seconds = 25 h 5 min 21 s |
Is 90321 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 (90321 ÷ 3 = 30107) | 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 1) | 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 (90321 ÷ 7 = 12903) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (90321 ÷ 11 = 8211) | 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 90321 a prime number?
No. 90321 = 3 × 7 × 11 × 17 × 23, so it is divisible by 3.
What are the factors of 90321?
1, 3, 7, 11, 17, 21, 23, 33, 51, 69, 77, 119, 161, 187, 231, 253, 357, 391, 483, 561, 759, 1173, 1309, 1771, 2737, 3927, 4301, 5313, 8211, 12903, 30107, 90321.
What is 90321 in binary?
10110000011010001 (hexadecimal 160D1, octal 260321).
What is the square root of 90321?
About 300.5345.
Is 90321 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 90321?
It is a composite number with 32 divisors.