The number 3231
3231 is a composite number with 6 divisors. Its prime factorisation is × 359. Divisors (6): 1, 3, 9, 359, 1077, 3231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3231: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
3231 is composite. Its prime factorisation is
- 3
The divisors add up to 4680; without 3231 itself that is 1449, so 3231 is deficient (1449 is less than 3231). Euler's totient φ(3231) = 2148 numbers up to 3231 share no factor with it.
- 4
The digits of 3231 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 167 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3231 = 3^{2} \times 359 \]3231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 4680 |
| Euler totient φ(n) | 2148 |
| Square | 10439361 |
| Cube | 33729575391 |
| Square root | 56.841886 (= 3√359) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 167 |
| Scientific notation | 3.231 × |
3231 in other forms
| Form | Value |
|---|---|
| In words | three thousand two hundred and thirty-one |
| Roman numerals | MMMCCXXXI |
| Binary (base 2) | 110010011111 |
| Octal (base 8) | 6237 |
| Hexadecimal (base 16) | C9F |
| Base 3 | 11102200 |
| As time | 3231 seconds = 53 min 51 s |
Is 3231 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 (3231 ÷ 3 = 1077) | 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 4) | 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 | Yes (3231 ÷ 9 = 359) | 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 8) | 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 3231 a prime number?
No. 3231 = × 359, so it is divisible by 3.
What are the factors of 3231?
1, 3, 9, 359, 1077, 3231.
What is 3231 in binary?
110010011111 (hexadecimal C9F, octal 6237).
What is the square root of 3231?
About 56.8419, exactly 3√359.
What is 3231 in Roman numerals?
MMMCCXXXI.
Is 3231 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 3231?
3231 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.