The number 47725
47725 is a composite number with 12 divisors. Its prime factorisation is × 23 × 83. Divisors (12): 1, 5, 23, 25, 83, 115, 415, 575, 1909, 2075, 9545, 47725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47725: a Harshad number: divisible by its digit sum 25.
- 2
47725 is composite. Its prime factorisation is
- 3
The divisors add up to 62496; without 47725 itself that is 14771, so 47725 is deficient (14771 is less than 47725). Euler's totient φ(47725) = 36080 numbers up to 47725 share no factor with it.
- 4
The digits of 47725 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 220 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47725 = 5^{2} \times 23 \times 83 \]47725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 62496 |
| Euler totient φ(n) | 36080 |
| Square | 2277675625 |
| Cube | 108702069203125 |
| Square root | 218.460523 (= 5√1909) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 220 |
| Scientific notation | 4.7725 × |
47725 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-five |
| Binary (base 2) | 1011101001101101 |
| Octal (base 8) | 135155 |
| Hexadecimal (base 16) | BA6D |
| Base 3 | 2102110121 |
| As time | 47725 seconds = 13 h 15 min 25 s |
Is 47725 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 | No (remainder 1) | 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 (47725 ÷ 5 = 9545) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47725 a prime number?
No. 47725 = × 23 × 83, so it is divisible by 5.
What are the factors of 47725?
1, 5, 23, 25, 83, 115, 415, 575, 1909, 2075, 9545, 47725.
What is 47725 in binary?
1011101001101101 (hexadecimal BA6D, octal 135155).
What is the square root of 47725?
About 218.4605, exactly 5√1909.
Is 47725 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47725?
47725 is a Harshad number: divisible by its digit sum 25.