The number 47025
47025 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 19. Divisors (36): 1, 3, 5, 9, 11, 15, 19, 25, 33, 45, 55, 57, 75, 95, 99, 165 … 47025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47025: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47025 is composite. Its prime factorisation is
- 3
The divisors add up to 96720; without 47025 itself that is 49695, so 47025 is abundant (49695 is more than 47025). Euler's totient φ(47025) = 21600 numbers up to 47025 share no factor with it.
- 4
The digits of 47025 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47025 = 3^{2} \times 5^{2} \times 11 \times 19 \]47025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 96720 |
| Euler totient φ(n) | 21600 |
| Square | 2211350625 |
| Cube | 103988763140625 |
| Square root | 216.852484 (= 15√209) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7025 × |
47025 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and twenty-five |
| Binary (base 2) | 1011011110110001 |
| Octal (base 8) | 133661 |
| Hexadecimal (base 16) | B7B1 |
| Base 3 | 2101111200 |
| As time | 47025 seconds = 13 h 3 min 45 s |
Is 47025 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 (47025 ÷ 3 = 15675) | 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 | Yes (47025 ÷ 5 = 9405) | 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 6) | 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 (47025 ÷ 9 = 5225) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47025 ÷ 11 = 4275) | 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 47025 a prime number?
No. 47025 = × × 11 × 19, so it is divisible by 3.
What are the factors of 47025?
1, 3, 5, 9, 11, 15, 19, 25, 33, 45, 55, 57, 75, 95, 99, 165, 171, 209, 225, 275, 285, 475, 495, 627, 825, 855, 1045, 1425, 1881, 2475, 3135, 4275, 5225, 9405, 15675, 47025.
What is 47025 in binary?
1011011110110001 (hexadecimal B7B1, octal 133661).
What is the square root of 47025?
About 216.8525, exactly 15√209.
Is 47025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47025?
47025 is a happy number: repeatedly adding the squares of its digits reaches 1.