The number 47404
47404 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1693. Divisors (12): 1, 2, 4, 7, 14, 28, 1693, 3386, 6772, 11851, 23702, 47404.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47404: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47404 is composite. Its prime factorisation is
- 3
The divisors add up to 94864; without 47404 itself that is 47460, so 47404 is abundant (47460 is more than 47404). Euler's totient φ(47404) = 20304 numbers up to 47404 share no factor with it.
- 4
The digits of 47404 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47404 = 2^{2} \times 7 \times 1693 \]47404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 94864 |
| Euler totient φ(n) | 20304 |
| Square | 2247139216 |
| Cube | 106523387395264 |
| Square root | 217.724597 (= 2√11851) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.7404 × |
47404 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and four |
| Binary (base 2) | 1011100100101100 |
| Octal (base 8) | 134454 |
| Hexadecimal (base 16) | B92C |
| Base 3 | 2102000201 |
| As time | 47404 seconds = 13 h 10 min 4 s |
Is 47404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47404 ÷ 2 = 23702) | 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 (47404 ÷ 4 = 11851) | 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 | Yes (47404 ÷ 7 = 6772) | 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 1) | 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 5) | 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 47404 a prime number?
No. 47404 = × 7 × 1693, so it is divisible by 2.
What are the factors of 47404?
1, 2, 4, 7, 14, 28, 1693, 3386, 6772, 11851, 23702, 47404.
What is 47404 in binary?
1011100100101100 (hexadecimal B92C, octal 134454).
What is the square root of 47404?
About 217.7246, exactly 2√11851.
Is 47404 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47404?
47404 is a happy number: repeatedly adding the squares of its digits reaches 1.