The number 47888
47888 is a composite number with 20 divisors. Its prime factorisation is × 41 × 73. Divisors (20): 1, 2, 4, 8, 16, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 2993 … 47888.
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How to work it out
- 1
47888 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47888 is composite. Its prime factorisation is
- 3
The divisors add up to 96348; without 47888 itself that is 48460, so 47888 is abundant (48460 is more than 47888). Euler's totient φ(47888) = 23040 numbers up to 47888 share no factor with it.
- 4
The digits of 47888 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47888 = 2^{4} \times 41 \times 73 \]47888 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 96348 |
| Euler totient φ(n) | 23040 |
| Square | 2293260544 |
| Cube | 109819660931072 |
| Square root | 218.833270 (= 4√2993) |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7888 × |
47888 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and eighty-eight |
| Binary (base 2) | 1011101100010000 |
| Octal (base 8) | 135420 |
| Hexadecimal (base 16) | BB10 |
| Base 3 | 2102200122 |
| As time | 47888 seconds = 13 h 18 min 8 s |
Is 47888 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47888 ÷ 2 = 23944) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47888 ÷ 4 = 11972) | 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 2) | 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 (47888 ÷ 8 = 5986) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47888 a prime number?
No. 47888 = × 41 × 73, so it is divisible by 2.
What are the factors of 47888?
1, 2, 4, 8, 16, 41, 73, 82, 146, 164, 292, 328, 584, 656, 1168, 2993, 5986, 11972, 23944, 47888.
What is 47888 in binary?
1011101100010000 (hexadecimal BB10, octal 135420).
What is the square root of 47888?
About 218.8333, exactly 4√2993.
Is 47888 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 47888?
It is a composite number with 20 divisors.