The number 47508
47508 is a composite number with 24 divisors. Its prime factorisation is × 3 × 37 × 107. Divisors (24): 1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444 … 47508.
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How to work it out
- 1
47508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47508 is composite. Its prime factorisation is
- 3
The divisors add up to 114912; without 47508 itself that is 67404, so 47508 is abundant (67404 is more than 47508). Euler's totient φ(47508) = 15264 numbers up to 47508 share no factor with it.
- 4
The digits of 47508 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 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47508 = 2^{2} \times 3 \times 37 \times 107 \]47508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 114912 |
| Euler totient φ(n) | 15264 |
| Square | 2257010064 |
| Cube | 107226034120512 |
| Square root | 217.963300 (= 2√11877) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7508 × |
47508 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand five hundred and eight |
| Binary (base 2) | 1011100110010100 |
| Octal (base 8) | 134624 |
| Hexadecimal (base 16) | B994 |
| Base 3 | 2102011120 |
| As time | 47508 seconds = 13 h 11 min 48 s |
Is 47508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47508 ÷ 2 = 23754) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47508 ÷ 3 = 15836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47508 ÷ 4 = 11877) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47508 ÷ 6 = 7918) | 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 4) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47508 ÷ 12 = 3959) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47508 a prime number?
No. 47508 = × 3 × 37 × 107, so it is divisible by 2.
What are the factors of 47508?
1, 2, 3, 4, 6, 12, 37, 74, 107, 111, 148, 214, 222, 321, 428, 444, 642, 1284, 3959, 7918, 11877, 15836, 23754, 47508.
What is 47508 in binary?
1011100110010100 (hexadecimal B994, octal 134624).
What is the square root of 47508?
About 217.9633, exactly 2√11877.
Is 47508 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 47508?
It is a composite number with 24 divisors.