The number 47125
47125 is a composite number with 16 divisors. Its prime factorisation is × 13 × 29. Divisors (16): 1, 5, 13, 25, 29, 65, 125, 145, 325, 377, 725, 1625, 1885, 3625, 9425, 47125.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47125 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47125 is composite. Its prime factorisation is
- 3
The divisors add up to 65520; without 47125 itself that is 18395, so 47125 is deficient (18395 is less than 47125). Euler's totient φ(47125) = 33600 numbers up to 47125 share no factor with it.
- 4
The digits of 47125 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47125 = 5^{3} \times 13 \times 29 \]47125 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65520 |
| Euler totient φ(n) | 33600 |
| Square | 2220765625 |
| Cube | 104653580078125 |
| Square root | 217.082933 (= 5√1885) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7125 × |
47125 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and twenty-five |
| Binary (base 2) | 1011100000010101 |
| Octal (base 8) | 134025 |
| Hexadecimal (base 16) | B815 |
| Base 3 | 2101122101 |
| As time | 47125 seconds = 13 h 5 min 25 s |
Is 47125 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 (47125 ÷ 5 = 9425) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47125 a prime number?
No. 47125 = × 13 × 29, so it is divisible by 5.
What are the factors of 47125?
1, 5, 13, 25, 29, 65, 125, 145, 325, 377, 725, 1625, 1885, 3625, 9425, 47125.
What is 47125 in binary?
1011100000010101 (hexadecimal B815, octal 134025).
What is the square root of 47125?
About 217.0829, exactly 5√1885.
Is 47125 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47125?
It is a composite number with 16 divisors.