The number 47925
47925 is a composite number with 24 divisors. Its prime factorisation is × × 71. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 45, 71, 75, 135, 213, 225, 355, 639, 675 … 47925.
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How to work it out
- 1
What is special about 47925: a Harshad number: divisible by its digit sum 27.
- 2
47925 is composite. Its prime factorisation is
- 3
The divisors add up to 89280; without 47925 itself that is 41355, so 47925 is deficient (41355 is less than 47925). Euler's totient φ(47925) = 25200 numbers up to 47925 share no factor with it.
- 4
The digits of 47925 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47925 = 3^{3} \times 5^{2} \times 71 \]47925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 89280 |
| Euler totient φ(n) | 25200 |
| Square | 2296805625 |
| Cube | 110074409578125 |
| Square root | 218.917793 (= 15√213) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7925 × |
47925 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and twenty-five |
| Binary (base 2) | 1011101100110101 |
| Octal (base 8) | 135465 |
| Hexadecimal (base 16) | BB35 |
| Base 3 | 2102202000 |
| As time | 47925 seconds = 13 h 18 min 45 s |
Is 47925 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 (47925 ÷ 3 = 15975) | 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 (47925 ÷ 5 = 9585) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47925 ÷ 9 = 5325) | 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 47925 a prime number?
No. 47925 = × × 71, so it is divisible by 3.
What are the factors of 47925?
1, 3, 5, 9, 15, 25, 27, 45, 71, 75, 135, 213, 225, 355, 639, 675, 1065, 1775, 1917, 3195, 5325, 9585, 15975, 47925.
What is 47925 in binary?
1011101100110101 (hexadecimal BB35, octal 135465).
What is the square root of 47925?
About 218.9178, exactly 15√213.
Is 47925 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 47925?
47925 is a Harshad number: divisible by its digit sum 27.