The number 47488
47488 is a composite number with 32 divisors. Its prime factorisation is × 7 × 53. Divisors (32): 1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212 … 47488.
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How to work it out
- 1
47488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47488 is composite. Its prime factorisation is
- 3
The divisors add up to 110160; without 47488 itself that is 62672, so 47488 is abundant (62672 is more than 47488). Euler's totient φ(47488) = 19968 numbers up to 47488 share no factor with it.
- 4
The digits of 47488 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47488 = 2^{7} \times 7 \times 53 \]47488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 110160 |
| Euler totient φ(n) | 19968 |
| Square | 2255110144 |
| Cube | 107090670518272 |
| Square root | 217.917416 (= 8√742) |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7488 × |
47488 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and eighty-eight |
| Binary (base 2) | 1011100110000000 |
| Octal (base 8) | 134600 |
| Hexadecimal (base 16) | B980 |
| Base 3 | 2102010211 |
| As time | 47488 seconds = 13 h 11 min 28 s |
Is 47488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47488 ÷ 2 = 23744) | 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 (47488 ÷ 4 = 11872) | 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 | Yes (47488 ÷ 7 = 6784) | 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 (47488 ÷ 8 = 5936) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 47488 a prime number?
No. 47488 = × 7 × 53, so it is divisible by 2.
What are the factors of 47488?
1, 2, 4, 7, 8, 14, 16, 28, 32, 53, 56, 64, 106, 112, 128, 212, 224, 371, 424, 448, 742, 848, 896, 1484, 1696, 2968, 3392, 5936, 6784, 11872, 23744, 47488.
What is 47488 in binary?
1011100110000000 (hexadecimal B980, octal 134600).
What is the square root of 47488?
About 217.9174, exactly 8√742.
Is 47488 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47488?
It is a composite number with 32 divisors.