The number 90831
90831 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 17 × 137. Divisors (16): 1, 3, 13, 17, 39, 51, 137, 221, 411, 663, 1781, 2329, 5343, 6987, 30277, 90831.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90831 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90831 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 90831 itself that is 48273, so 90831 is deficient (48273 is less than 90831). Euler's totient φ(90831) = 52224 numbers up to 90831 share no factor with it.
- 4
The digits of 90831 add up to 21, 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
\[ 90831 = 3 \times 13 \times 17 \times 137 \]
90831 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 52224 |
| Square | 8250270561 |
| Cube | 749380325326191 |
| Square root | 301.381818 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.0831 × |
90831 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand eight hundred and thirty-one |
| Binary (base 2) | 10110001011001111 |
| Octal (base 8) | 261317 |
| Hexadecimal (base 16) | 162CF |
| Base 3 | 11121121010 |
| As time | 90831 seconds = 25 h 13 min 51 s |
Is 90831 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 (90831 ÷ 3 = 30277) | 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 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 | No (remainder 6) | 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 7) | 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 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 90831 a prime number?
No. 90831 = 3 × 13 × 17 × 137, so it is divisible by 3.
What are the factors of 90831?
1, 3, 13, 17, 39, 51, 137, 221, 411, 663, 1781, 2329, 5343, 6987, 30277, 90831.
What is 90831 in binary?
10110001011001111 (hexadecimal 162CF, octal 261317).
What is the square root of 90831?
About 301.3818.
Is 90831 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 90831?
It is a composite number with 16 divisors.