The number 47241
47241 is a composite number with 12 divisors. Its prime factorisation is × 29 × 181. Divisors (12): 1, 3, 9, 29, 87, 181, 261, 543, 1629, 5249, 15747, 47241.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47241: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47241 is composite. Its prime factorisation is
- 3
The divisors add up to 70980; without 47241 itself that is 23739, so 47241 is deficient (23739 is less than 47241). Euler's totient φ(47241) = 30240 numbers up to 47241 share no factor with it.
- 4
The digits of 47241 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47241 = 3^{2} \times 29 \times 181 \]47241 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 70980 |
| Euler totient φ(n) | 30240 |
| Square | 2231712081 |
| Cube | 105428310418521 |
| Square root | 217.349948 (= 3√5249) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7241 × |
47241 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and forty-one |
| Binary (base 2) | 1011100010001001 |
| Octal (base 8) | 134211 |
| Hexadecimal (base 16) | B889 |
| Base 3 | 2101210200 |
| As time | 47241 seconds = 13 h 7 min 21 s |
Is 47241 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 (47241 ÷ 3 = 15747) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47241 ÷ 9 = 5249) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47241 a prime number?
No. 47241 = × 29 × 181, so it is divisible by 3.
What are the factors of 47241?
1, 3, 9, 29, 87, 181, 261, 543, 1629, 5249, 15747, 47241.
What is 47241 in binary?
1011100010001001 (hexadecimal B889, octal 134211).
What is the square root of 47241?
About 217.3499, exactly 3√5249.
Is 47241 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47241?
47241 is a happy number: repeatedly adding the squares of its digits reaches 1.