The number 47531
47531 is a composite number with 8 divisors. Its prime factorisation is 11 × 29 × 149. Divisors (8): 1, 11, 29, 149, 319, 1639, 4321, 47531.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47531: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47531 is composite. Its prime factorisation is
- 3
The divisors add up to 54000; without 47531 itself that is 6469, so 47531 is deficient (6469 is less than 47531). Euler's totient φ(47531) = 41440 numbers up to 47531 share no factor with it.
- 4
The digits of 47531 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 282 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47531 = 11 \times 29 \times 149 \]
47531 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 54000 |
| Euler totient φ(n) | 41440 |
| Square | 2259195961 |
| Cube | 107381843222291 |
| Square root | 218.016054 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 282 |
| Scientific notation | 4.7531 × |
47531 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and thirty-one |
| Binary (base 2) | 1011100110101011 |
| Octal (base 8) | 134653 |
| Hexadecimal (base 16) | B9AB |
| Base 3 | 2102012102 |
| As time | 47531 seconds = 13 h 12 min 11 s |
Is 47531 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 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | Yes (47531 ÷ 11 = 4321) | 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 47531 a prime number?
No. 47531 = 11 × 29 × 149, so it is divisible by 11.
What are the factors of 47531?
1, 11, 29, 149, 319, 1639, 4321, 47531.
What is 47531 in binary?
1011100110101011 (hexadecimal B9AB, octal 134653).
What is the square root of 47531?
About 218.0161.
Is 47531 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47531?
47531 is a happy number: repeatedly adding the squares of its digits reaches 1.