The number 30040
30040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 751. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 751, 1502, 3004, 3755, 6008, 7510, 15020, 30040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
30040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
30040 is composite. Its prime factorisation is
- 3
The divisors add up to 67680; without 30040 itself that is 37640, so 30040 is abundant (37640 is more than 30040). Euler's totient φ(30040) = 12000 numbers up to 30040 share no factor with it.
- 4
The digits of 30040 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 30040 = 2^{3} \times 5 \times 751 \]30040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 67680 |
| Euler totient φ(n) | 12000 |
| Square | 902401600 |
| Cube | 27108144064000 |
| Square root | 173.320512 (= 2√7510) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 64 |
| Scientific notation | 3.004 × |
30040 in other forms
| Form | Value |
|---|---|
| In words | thirty thousand and forty |
| Binary (base 2) | 111010101011000 |
| Octal (base 8) | 72530 |
| Hexadecimal (base 16) | 7558 |
| Base 3 | 1112012121 |
| As time | 30040 seconds = 8 h 20 min 40 s |
Is 30040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (30040 ÷ 2 = 15020) | 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 (30040 ÷ 4 = 7510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (30040 ÷ 5 = 6008) | 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 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 | Yes (30040 ÷ 8 = 3755) | 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 | Yes (30040 ÷ 10 = 3004) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 30040 a prime number?
No. 30040 = × 5 × 751, so it is divisible by 2.
What are the factors of 30040?
1, 2, 4, 5, 8, 10, 20, 40, 751, 1502, 3004, 3755, 6008, 7510, 15020, 30040.
What is 30040 in binary?
111010101011000 (hexadecimal 7558, octal 72530).
What is the square root of 30040?
About 173.3205, exactly 2√7510.
Is 30040 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 30040?
It is a composite number with 16 divisors.