The number 47608
47608 is a composite number with 16 divisors. Its prime factorisation is × 11 × 541. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 541, 1082, 2164, 4328, 5951, 11902, 23804, 47608.
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How to work it out
- 1
47608 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47608 is composite. Its prime factorisation is
- 3
The divisors add up to 97560; without 47608 itself that is 49952, so 47608 is abundant (49952 is more than 47608). Euler's totient φ(47608) = 21600 numbers up to 47608 share no factor with it.
- 4
The digits of 47608 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47608 = 2^{3} \times 11 \times 541 \]47608 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 97560 |
| Euler totient φ(n) | 21600 |
| Square | 2266521664 |
| Cube | 107904563379712 |
| Square root | 218.192575 (= 2√11902) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7608 × |
47608 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and eight |
| Binary (base 2) | 1011100111111000 |
| Octal (base 8) | 134770 |
| Hexadecimal (base 16) | B9F8 |
| Base 3 | 2102022021 |
| As time | 47608 seconds = 13 h 13 min 28 s |
Is 47608 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47608 ÷ 2 = 23804) | 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 | Yes (47608 ÷ 4 = 11902) | 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 | No (remainder 4) | 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 | Yes (47608 ÷ 8 = 5951) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47608 ÷ 11 = 4328) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47608 a prime number?
No. 47608 = × 11 × 541, so it is divisible by 2.
What are the factors of 47608?
1, 2, 4, 8, 11, 22, 44, 88, 541, 1082, 2164, 4328, 5951, 11902, 23804, 47608.
What is 47608 in binary?
1011100111111000 (hexadecimal B9F8, octal 134770).
What is the square root of 47608?
About 218.1926, exactly 2√11902.
Is 47608 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47608?
It is a composite number with 16 divisors.