The number 30740
30740 is a composite number with 24 divisors. Its prime factorisation is × 5 × 29 × 53. Divisors (24): 1, 2, 4, 5, 10, 20, 29, 53, 58, 106, 116, 145, 212, 265, 290, 530 … 30740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30740 is composite. Its prime factorisation is
- 3
The divisors add up to 68040; without 30740 itself that is 37300, so 30740 is abundant (37300 is more than 30740). Euler's totient φ(30740) = 11648 numbers up to 30740 share no factor with it.
- 4
The digits of 30740 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 147 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30740 = 2^{2} \times 5 \times 29 \times 53 \]30740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 68040 |
| Euler totient φ(n) | 11648 |
| Square | 944947600 |
| Cube | 29047689224000 |
| Square root | 175.328264 (= 2√7685) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 147 |
| Scientific notation | 3.074 × |
30740 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand seven hundred and forty |
| Binary (base 2) | 111100000010100 |
| Octal (base 8) | 74024 |
| Hexadecimal (base 16) | 7814 |
| Base 3 | 1120011112 |
| As time | 30740 seconds = 8 h 32 min 20 s |
Is 30740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30740 ÷ 2 = 15370) | 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 (30740 ÷ 4 = 7685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30740 ÷ 5 = 6148) | 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 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (30740 ÷ 10 = 3074) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 30740 a prime number?
No. 30740 = × 5 × 29 × 53, so it is divisible by 2.
What are the factors of 30740?
1, 2, 4, 5, 10, 20, 29, 53, 58, 106, 116, 145, 212, 265, 290, 530, 580, 1060, 1537, 3074, 6148, 7685, 15370, 30740.
What is 30740 in binary?
111100000010100 (hexadecimal 7814, octal 74024).
What is the square root of 30740?
About 175.3283, exactly 2√7685.
Is 30740 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 30740?
It is a composite number with 24 divisors.