The number 47704
47704 is a composite number with 16 divisors. Its prime factorisation is × 67 × 89. Divisors (16): 1, 2, 4, 8, 67, 89, 134, 178, 268, 356, 536, 712, 5963, 11926, 23852, 47704.
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How to work it out
- 1
What is special about 47704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47704 is composite. Its prime factorisation is
- 3
The divisors add up to 91800; without 47704 itself that is 44096, so 47704 is deficient (44096 is less than 47704). Euler's totient φ(47704) = 23232 numbers up to 47704 share no factor with it.
- 4
The digits of 47704 add up to 22, 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
\[ 47704 = 2^{3} \times 67 \times 89 \]47704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91800 |
| Euler totient φ(n) | 23232 |
| Square | 2275671616 |
| Cube | 108558638769664 |
| Square root | 218.412454 (= 2√11926) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7704 × |
47704 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and four |
| Binary (base 2) | 1011101001011000 |
| Octal (base 8) | 135130 |
| Hexadecimal (base 16) | BA58 |
| Base 3 | 2102102211 |
| As time | 47704 seconds = 13 h 15 min 4 s |
Is 47704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47704 ÷ 2 = 23852) | 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 (47704 ÷ 4 = 11926) | 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 6) | 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 (47704 ÷ 8 = 5963) | 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 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47704 a prime number?
No. 47704 = × 67 × 89, so it is divisible by 2.
What are the factors of 47704?
1, 2, 4, 8, 67, 89, 134, 178, 268, 356, 536, 712, 5963, 11926, 23852, 47704.
What is 47704 in binary?
1011101001011000 (hexadecimal BA58, octal 135130).
What is the square root of 47704?
About 218.4125, exactly 2√11926.
Is 47704 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 47704?
47704 is a happy number: repeatedly adding the squares of its digits reaches 1.