The number 30704
30704 is a composite number with 20 divisors. Its prime factorisation is × 19 × 101. Divisors (20): 1, 2, 4, 8, 16, 19, 38, 76, 101, 152, 202, 304, 404, 808, 1616, 1919 … 30704.
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How to work it out
- 1
30704 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30704 is composite. Its prime factorisation is
- 3
The divisors add up to 63240; without 30704 itself that is 32536, so 30704 is abundant (32536 is more than 30704). Euler's totient φ(30704) = 14400 numbers up to 30704 share no factor with it.
- 4
The digits of 30704 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 134 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30704 = 2^{4} \times 19 \times 101 \]30704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 63240 |
| Euler totient φ(n) | 14400 |
| Square | 942735616 |
| Cube | 28945754353664 |
| Square root | 175.225569 (= 4√1919) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 134 |
| Scientific notation | 3.0704 × |
30704 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and four |
| Binary (base 2) | 111011111110000 |
| Octal (base 8) | 73760 |
| Hexadecimal (base 16) | 77F0 |
| Base 3 | 1120010012 |
| As time | 30704 seconds = 8 h 31 min 44 s |
Is 30704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30704 ÷ 2 = 15352) | 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 (30704 ÷ 4 = 7676) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (30704 ÷ 8 = 3838) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 3) | 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 30704 a prime number?
No. 30704 = × 19 × 101, so it is divisible by 2.
What are the factors of 30704?
1, 2, 4, 8, 16, 19, 38, 76, 101, 152, 202, 304, 404, 808, 1616, 1919, 3838, 7676, 15352, 30704.
What is 30704 in binary?
111011111110000 (hexadecimal 77F0, octal 73760).
What is the square root of 30704?
About 175.2256, exactly 4√1919.
Is 30704 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 30704?
It is a composite number with 20 divisors.