The number 31089
31089 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 241. Divisors (8): 1, 3, 43, 129, 241, 723, 10363, 31089.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
31089 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
31089 is composite. Its prime factorisation is
- 3
The divisors add up to 42592; without 31089 itself that is 11503, so 31089 is deficient (11503 is less than 31089). Euler's totient φ(31089) = 20160 numbers up to 31089 share no factor with it.
- 4
The digits of 31089 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 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 31089 = 3 \times 43 \times 241 \]
31089 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 42592 |
| Euler totient φ(n) | 20160 |
| Square | 966525921 |
| Cube | 30048324357969 |
| Square root | 176.320730 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.1089 × |
31089 in other forms
| Form | Value |
|---|---|
| In words | thirty-one thousand and eighty-nine |
| Binary (base 2) | 111100101110001 |
| Octal (base 8) | 74561 |
| Hexadecimal (base 16) | 7971 |
| Base 3 | 1120122110 |
| As time | 31089 seconds = 8 h 38 min 9 s |
Is 31089 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 (31089 ÷ 3 = 10363) | 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 | No (remainder 2) | 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 31089 a prime number?
No. 31089 = 3 × 43 × 241, so it is divisible by 3.
What are the factors of 31089?
1, 3, 43, 129, 241, 723, 10363, 31089.
What is 31089 in binary?
111100101110001 (hexadecimal 7971, octal 74561).
What is the square root of 31089?
About 176.3207.
Is 31089 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 31089?
It is a composite number with 8 divisors.