The number 47104
47104 is a composite number with 24 divisors. Its prime factorisation is × 23. Divisors (24): 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736 … 47104.
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How to work it out
- 1
What is special about 47104: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.
- 2
47104 is composite. Its prime factorisation is
- 3
The divisors add up to 98280; without 47104 itself that is 51176, so 47104 is abundant (51176 is more than 47104). Euler's totient φ(47104) = 22528 numbers up to 47104 share no factor with it.
- 4
The digits of 47104 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47104 = 2^{11} \times 23 \]47104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 98280 |
| Euler totient φ(n) | 22528 |
| Square | 2218786816 |
| Cube | 104513734180864 |
| Square root | 217.034559 (= 32√46) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7104 × |
47104 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and four |
| Binary (base 2) | 1011100000000000 |
| Octal (base 8) | 134000 |
| Hexadecimal (base 16) | B800 |
| Base 3 | 2101121121 |
| As time | 47104 seconds = 13 h 5 min 4 s |
Is 47104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47104 ÷ 2 = 23552) | 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 (47104 ÷ 4 = 11776) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 (47104 ÷ 8 = 5888) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 47104 a prime number?
No. 47104 = × 23, so it is divisible by 2.
What are the factors of 47104?
1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2048, 2944, 5888, 11776, 23552, 47104.
What is 47104 in binary?
1011100000000000 (hexadecimal B800, octal 134000).
What is the square root of 47104?
About 217.0346, exactly 32√46.
Is 47104 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47104?
47104 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 16.