The number 47509
47509 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 617. Divisors (8): 1, 7, 11, 77, 617, 4319, 6787, 47509.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47509 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47509 is composite. Its prime factorisation is
- 3
The divisors add up to 59328; without 47509 itself that is 11819, so 47509 is deficient (11819 is less than 47509). Euler's totient φ(47509) = 36960 numbers up to 47509 share no factor with it.
- 4
The digits of 47509 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47509 = 7 \times 11 \times 617 \]
47509 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 59328 |
| Euler totient φ(n) | 36960 |
| Square | 2257105081 |
| Cube | 107232805293229 |
| Square root | 217.965594 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7509 × |
47509 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and nine |
| Binary (base 2) | 1011100110010101 |
| Octal (base 8) | 134625 |
| Hexadecimal (base 16) | B995 |
| Base 3 | 2102011121 |
| As time | 47509 seconds = 13 h 11 min 49 s |
Is 47509 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 | No (remainder 4) | 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 | Yes (47509 ÷ 7 = 6787) | 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 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47509 ÷ 11 = 4319) | 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 47509 a prime number?
No. 47509 = 7 × 11 × 617, so it is divisible by 7.
What are the factors of 47509?
1, 7, 11, 77, 617, 4319, 6787, 47509.
What is 47509 in binary?
1011100110010101 (hexadecimal B995, octal 134625).
What is the square root of 47509?
About 217.9656.
Is 47509 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47509?
It is a composite number with 8 divisors.