The number 47348
47348 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 89. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623 … 47348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47348 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 47348 itself that is 53452, so 47348 is abundant (53452 is more than 47348). Euler's totient φ(47348) = 19008 numbers up to 47348 share no factor with it.
- 4
The digits of 47348 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47348 = 2^{2} \times 7 \times 19 \times 89 \]47348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 19008 |
| Square | 2241833104 |
| Cube | 106146313808192 |
| Square root | 217.595956 (= 2√11837) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7348 × |
47348 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand three hundred and forty-eight |
| Binary (base 2) | 1011100011110100 |
| Octal (base 8) | 134364 |
| Hexadecimal (base 16) | B8F4 |
| Base 3 | 2101221122 |
| As time | 47348 seconds = 13 h 9 min 8 s |
Is 47348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47348 ÷ 2 = 23674) | 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 (47348 ÷ 4 = 11837) | 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 | Yes (47348 ÷ 7 = 6764) | 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 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 4) | 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 47348 a prime number?
No. 47348 = × 7 × 19 × 89, so it is divisible by 2.
What are the factors of 47348?
1, 2, 4, 7, 14, 19, 28, 38, 76, 89, 133, 178, 266, 356, 532, 623, 1246, 1691, 2492, 3382, 6764, 11837, 23674, 47348.
What is 47348 in binary?
1011100011110100 (hexadecimal B8F4, octal 134364).
What is the square root of 47348?
About 217.5960, exactly 2√11837.
Is 47348 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47348?
It is a composite number with 24 divisors.