The number 2231
2231 is a composite number with 4 divisors. Its prime factorisation is 23 × 97. Divisors (4): 1, 23, 97, 2231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2231: a semiprime: 23 × 97, the product of two primes.
- 2
2231 is composite. Its prime factorisation is
- 3
The divisors add up to 2352; without 2231 itself that is 121, so 2231 is deficient (121 is less than 2231). Euler's totient φ(2231) = 2112 numbers up to 2231 share no factor with it.
- 4
The digits of 2231 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2231 = 23 \times 97 \]
2231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 2352 |
| Euler totient φ(n) | 2112 |
| Square | 4977361 |
| Cube | 11104492391 |
| Square root | 47.233463 |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 94 |
| Scientific notation | 2.231 × |
2231 in other forms
| Form | Value |
|---|---|
| In words | two thousand two hundred and thirty-one |
| Roman numerals | MMCCXXXI |
| Binary (base 2) | 100010110111 |
| Octal (base 8) | 4267 |
| Hexadecimal (base 16) | 8B7 |
| Base 3 | 10001122 |
| As time | 2231 seconds = 37 min 11 s |
Is 2231 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 8) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2231 a prime number?
No. 2231 = 23 × 97, so it is divisible by 23.
What are the factors of 2231?
1, 23, 97, 2231.
What is 2231 in binary?
100010110111 (hexadecimal 8B7, octal 4267).
What is the square root of 2231?
About 47.2335.
What is 2231 in Roman numerals?
MMCCXXXI.
Is 2231 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 2231?
2231 is a semiprime: 23 × 97, the product of two primes.