The number 47265
47265 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 23 × 137. Divisors (16): 1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755, 47265.
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How to work it out
- 1
What is special about 47265: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47265 is composite. Its prime factorisation is
- 3
The divisors add up to 79488; without 47265 itself that is 32223, so 47265 is deficient (32223 is less than 47265). Euler's totient φ(47265) = 23936 numbers up to 47265 share no factor with it.
- 4
The digits of 47265 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47265 = 3 \times 5 \times 23 \times 137 \]
47265 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79488 |
| Euler totient φ(n) | 23936 |
| Square | 2233980225 |
| Cube | 105589075334625 |
| Square root | 217.405152 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7265 × |
47265 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and sixty-five |
| Binary (base 2) | 1011100010100001 |
| Octal (base 8) | 134241 |
| Hexadecimal (base 16) | B8A1 |
| Base 3 | 2101211120 |
| As time | 47265 seconds = 13 h 7 min 45 s |
Is 47265 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 (47265 ÷ 3 = 15755) | 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 (47265 ÷ 5 = 9453) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | No (remainder 9) | 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 47265 a prime number?
No. 47265 = 3 × 5 × 23 × 137, so it is divisible by 3.
What are the factors of 47265?
1, 3, 5, 15, 23, 69, 115, 137, 345, 411, 685, 2055, 3151, 9453, 15755, 47265.
What is 47265 in binary?
1011100010100001 (hexadecimal B8A1, octal 134241).
What is the square root of 47265?
About 217.4052.
Is 47265 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47265?
47265 is a happy number: repeatedly adding the squares of its digits reaches 1.