The number 47625
47625 is a composite number with 16 divisors. Its prime factorisation is 3 × × 127. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 127, 375, 381, 635, 1905, 3175, 9525, 15875, 47625.
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How to work it out
- 1
What is special about 47625: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47625 is composite. Its prime factorisation is
- 3
The divisors add up to 79872; without 47625 itself that is 32247, so 47625 is deficient (32247 is less than 47625). Euler's totient φ(47625) = 25200 numbers up to 47625 share no factor with it.
- 4
The digits of 47625 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47625 = 3 \times 5^{3} \times 127 \]47625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 79872 |
| Euler totient φ(n) | 25200 |
| Square | 2268140625 |
| Cube | 108020197265625 |
| Square root | 218.231528 (= 5√1905) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7625 × |
47625 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and twenty-five |
| Binary (base 2) | 1011101000001001 |
| Octal (base 8) | 135011 |
| Hexadecimal (base 16) | BA09 |
| Base 3 | 2102022220 |
| As time | 47625 seconds = 13 h 13 min 45 s |
Is 47625 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 (47625 ÷ 3 = 15875) | 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 (47625 ÷ 5 = 9525) | 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 4) | 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 6) | 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 47625 a prime number?
No. 47625 = 3 × × 127, so it is divisible by 3.
What are the factors of 47625?
1, 3, 5, 15, 25, 75, 125, 127, 375, 381, 635, 1905, 3175, 9525, 15875, 47625.
What is 47625 in binary?
1011101000001001 (hexadecimal BA09, octal 135011).
What is the square root of 47625?
About 218.2315, exactly 5√1905.
Is 47625 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47625?
47625 is a happy number: repeatedly adding the squares of its digits reaches 1.