The number 30724
30724 is a composite number with 6 divisors. Its prime factorisation is × 7681. Divisors (6): 1, 2, 4, 7681, 15362, 30724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30724 is composite. Its prime factorisation is
- 3
The divisors add up to 53774; without 30724 itself that is 23050, so 30724 is deficient (23050 is less than 30724). Euler's totient φ(30724) = 15360 numbers up to 30724 share no factor with it.
- 4
The digits of 30724 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 178 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30724 = 2^{2} \times 7681 \]30724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 53774 |
| Euler totient φ(n) | 15360 |
| Square | 943964176 |
| Cube | 29002355343424 |
| Square root | 175.282629 (= 2√7681) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 178 |
| Scientific notation | 3.0724 × |
30724 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and twenty-four |
| Binary (base 2) | 111100000000100 |
| Octal (base 8) | 74004 |
| Hexadecimal (base 16) | 7804 |
| Base 3 | 1120010221 |
| As time | 30724 seconds = 8 h 32 min 4 s |
Is 30724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30724 ÷ 2 = 15362) | 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 (30724 ÷ 4 = 7681) | 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 | No (remainder 4) | 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 1) | 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 30724 a prime number?
No. 30724 = × 7681, so it is divisible by 2.
What are the factors of 30724?
1, 2, 4, 7681, 15362, 30724.
What is 30724 in binary?
111100000000100 (hexadecimal 7804, octal 74004).
What is the square root of 30724?
About 175.2826, exactly 2√7681.
Is 30724 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 30724?
It is a composite number with 6 divisors.