The number 48231
48231 is a composite number with 12 divisors. Its prime factorisation is × 23 × 233. Divisors (12): 1, 3, 9, 23, 69, 207, 233, 699, 2097, 5359, 16077, 48231.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48231: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
48231 is composite. Its prime factorisation is
- 3
The divisors add up to 73008; without 48231 itself that is 24777, so 48231 is deficient (24777 is less than 48231). Euler's totient φ(48231) = 30624 numbers up to 48231 share no factor with it.
- 4
The digits of 48231 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48231 = 3^{2} \times 23 \times 233 \]48231 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 73008 |
| Euler totient φ(n) | 30624 |
| Square | 2326229361 |
| Cube | 112196368310391 |
| Square root | 219.615573 (= 3√5359) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 4.8231 × |
48231 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand two hundred and thirty-one |
| Binary (base 2) | 1011110001100111 |
| Octal (base 8) | 136147 |
| Hexadecimal (base 16) | BC67 |
| Base 3 | 2110011100 |
| As time | 48231 seconds = 13 h 23 min 51 s |
Is 48231 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 (48231 ÷ 3 = 16077) | 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 1) | 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 (48231 ÷ 9 = 5359) | 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 7) | 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 48231 a prime number?
No. 48231 = × 23 × 233, so it is divisible by 3.
What are the factors of 48231?
1, 3, 9, 23, 69, 207, 233, 699, 2097, 5359, 16077, 48231.
What is 48231 in binary?
1011110001100111 (hexadecimal BC67, octal 136147).
What is the square root of 48231?
About 219.6156, exactly 3√5359.
Is 48231 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 48231?
48231 is a happy number: repeatedly adding the squares of its digits reaches 1.