The number 2331
2331 is a composite number with 12 divisors. Its prime factorisation is × 7 × 37. Divisors (12): 1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2331: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
2331 is composite. Its prime factorisation is
- 3
The divisors add up to 3952; without 2331 itself that is 1621, so 2331 is deficient (1621 is less than 2331). Euler's totient φ(2331) = 1296 numbers up to 2331 share no factor with it.
- 4
The digits of 2331 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2331 = 3^{2} \times 7 \times 37 \]2331 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 3952 |
| Euler totient φ(n) | 1296 |
| Square | 5433561 |
| Cube | 12665630691 |
| Square root | 48.280431 (= 3√259) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 107 |
| Scientific notation | 2.331 × |
2331 in other forms
| Form | Value |
|---|---|
| In words | two thousand three hundred and thirty-one |
| Roman numerals | MMCCCXXXI |
| Binary (base 2) | 100100011011 |
| Octal (base 8) | 4433 |
| Hexadecimal (base 16) | 91B |
| Base 3 | 10012100 |
| As time | 2331 seconds = 38 min 51 s |
Is 2331 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 (2331 ÷ 3 = 777) | 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 | Yes (2331 ÷ 7 = 333) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2331 ÷ 9 = 259) | 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 10) | 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 2331 a prime number?
No. 2331 = × 7 × 37, so it is divisible by 3.
What are the factors of 2331?
1, 3, 7, 9, 21, 37, 63, 111, 259, 333, 777, 2331.
What is 2331 in binary?
100100011011 (hexadecimal 91B, octal 4433).
What is the square root of 2331?
About 48.2804, exactly 3√259.
What is 2331 in Roman numerals?
MMCCCXXXI.
Is 2331 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2331?
2331 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.