The number 47235
47235 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 47 × 67. Divisors (16): 1, 3, 5, 15, 47, 67, 141, 201, 235, 335, 705, 1005, 3149, 9447, 15745, 47235.
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How to work it out
- 1
What is special about 47235: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47235 is composite. Its prime factorisation is
- 3
The divisors add up to 78336; without 47235 itself that is 31101, so 47235 is deficient (31101 is less than 47235). Euler's totient φ(47235) = 24288 numbers up to 47235 share no factor with it.
- 4
The digits of 47235 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 114 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47235 = 3 \times 5 \times 47 \times 67 \]
47235 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 78336 |
| Euler totient φ(n) | 24288 |
| Square | 2231145225 |
| Cube | 105388144702875 |
| Square root | 217.336145 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 114 |
| Scientific notation | 4.7235 × |
47235 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand two hundred and thirty-five |
| Binary (base 2) | 1011100010000011 |
| Octal (base 8) | 134203 |
| Hexadecimal (base 16) | B883 |
| Base 3 | 2101210110 |
| As time | 47235 seconds = 13 h 7 min 15 s |
Is 47235 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 (47235 ÷ 3 = 15745) | 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 | Yes (47235 ÷ 5 = 9447) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 1) | 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 47235 a prime number?
No. 47235 = 3 × 5 × 47 × 67, so it is divisible by 3.
What are the factors of 47235?
1, 3, 5, 15, 47, 67, 141, 201, 235, 335, 705, 1005, 3149, 9447, 15745, 47235.
What is 47235 in binary?
1011100010000011 (hexadecimal B883, octal 134203).
What is the square root of 47235?
About 217.3361.
Is 47235 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47235?
47235 is a happy number: repeatedly adding the squares of its digits reaches 1.