The number 12231
12231 is a composite number with 10 divisors. Its prime factorisation is × 151. Divisors (10): 1, 3, 9, 27, 81, 151, 453, 1359, 4077, 12231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12231: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
12231 is composite. Its prime factorisation is
- 3
The divisors add up to 18392; without 12231 itself that is 6161, so 12231 is deficient (6161 is less than 12231). Euler's totient φ(12231) = 8100 numbers up to 12231 share no factor with it.
- 4
The digits of 12231 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12231 = 3^{4} \times 151 \]12231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 18392 |
| Euler totient φ(n) | 8100 |
| Square | 149597361 |
| Cube | 1829725322391 |
| Square root | 110.593852 (= 9√151) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 1.2231 × |
12231 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand two hundred and thirty-one |
| Binary (base 2) | 10111111000111 |
| Octal (base 8) | 27707 |
| Hexadecimal (base 16) | 2FC7 |
| Base 3 | 121210000 |
| As time | 12231 seconds = 3 h 23 min 51 s |
Is 12231 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 (12231 ÷ 3 = 4077) | 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 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (12231 ÷ 9 = 1359) | 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 12231 a prime number?
No. 12231 = × 151, so it is divisible by 3.
What are the factors of 12231?
1, 3, 9, 27, 81, 151, 453, 1359, 4077, 12231.
What is 12231 in binary?
10111111000111 (hexadecimal 2FC7, octal 27707).
What is the square root of 12231?
About 110.5939, exactly 9√151.
Is 12231 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 12231?
12231 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.