The number 47748
47748 is a composite number with 24 divisors. Its prime factorisation is × 3 × 23 × 173. Divisors (24): 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 173, 276, 346, 519, 692 … 47748.
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How to work it out
- 1
47748 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47748 is composite. Its prime factorisation is
- 3
The divisors add up to 116928; without 47748 itself that is 69180, so 47748 is abundant (69180 is more than 47748). Euler's totient φ(47748) = 15136 numbers up to 47748 share no factor with it.
- 4
The digits of 47748 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47748 = 2^{2} \times 3 \times 23 \times 173 \]47748 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 116928 |
| Euler totient φ(n) | 15136 |
| Square | 2279871504 |
| Cube | 108859304572992 |
| Square root | 218.513157 (= 2√11937) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.7748 × |
47748 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-eight |
| Binary (base 2) | 1011101010000100 |
| Octal (base 8) | 135204 |
| Hexadecimal (base 16) | BA84 |
| Base 3 | 2102111110 |
| As time | 47748 seconds = 13 h 15 min 48 s |
Is 47748 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47748 ÷ 2 = 23874) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47748 ÷ 3 = 15916) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47748 ÷ 4 = 11937) | 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 (47748 ÷ 6 = 7958) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (47748 ÷ 12 = 3979) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47748 a prime number?
No. 47748 = × 3 × 23 × 173, so it is divisible by 2.
What are the factors of 47748?
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 173, 276, 346, 519, 692, 1038, 2076, 3979, 7958, 11937, 15916, 23874, 47748.
What is 47748 in binary?
1011101010000100 (hexadecimal BA84, octal 135204).
What is the square root of 47748?
About 218.5132, exactly 2√11937.
Is 47748 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 47748?
It is a composite number with 24 divisors.